Publications


Update: 2024.7.17
Please send an email to me if you need a PDF file （PDF ファイルが必要な場合は（提出中を含む）お知らせ下さい。）

  1. Unbiased Hadamard matrices and ternary self-dual codes (with Hadi Kharaghani), submitted to JCD (2024.7.17).
  2. Characterizations of the minimum weights of LCD codes of large dimensions (with Makoto Araya, Keita Ishizuka, Yuto Tanaka), submitted to IEEE-IT (2024.6.24).
  3. On the minimum weights of quaternary Hermitian LCD codes (with Makoto Araya), submitted to CS (submitted: 2024.5.29, revised: 2024.6.19).

  1. On the classification of skew Hadamard matrices of order $36$ and related structures (with Makoto Araya, Hadi Kharaghani, Ali Mohammadian and Behruz Tayfeh-Rezaie), Designs, Codes and Cryptography (submitted: 2024.1.29, revised: 2024.3.10, accepted: 2024.5.17), [arXiv:2402.11074].
  2. A method for constructing quaternary Hermitian self-dual codes and an application to quantum codes, Designs, Codes and Cryptography (submitted: 2023.3.12, revised: 2024.1.27, accepted: 2024.5.6, proof: 2024.5.17), [arXiv:2401.15265].

  1. Improved lower bounds for self-dual codes over $\mathbb{F}_{11}$, $\mathbb{F}_{13}$, $\mathbb{F}_{17}$, $\mathbb{F}_{19}$ and $\mathbb{F}_{23}$ (with T. Aaron Gulliver), Advances in Mathematics of Communications 18 (2024), 1259-1265 DOI: 10.3934/amc.2022083 (submitted: 2022.6.16, revised: 2022.8.26, accepted: 2022.9.20, proof: 2022.10.4, published: 2024.7.7).
  2. Ternary extremal four-negacirculant self-dual codes (with Keita Ishizuka and Hadi Kharaghani), Graphs and Combinatorics 40 (2024), 59 (8 pp.) DOI: 10.1007/s00373-024-02788-3 (submitted: 2023.12.14, revised: 2024.4.6, accepted:2024.4.8, published: 2024.5.2), [arXiv:2306.10451].
  3. Hadamard matrices of orders $60$ and $64$ with automorphisms of orders $29$ and $31$ (with Makoto Araya and Vladimir D. Tonchev), The Electronic Journal of Combinatorics 31 (2024), #P1.50 DOI: 10.37236/12249 (submitted: 2023.7.25, revised: 2024.2.12, published: 2024.2.23), [arXiv:2307.08983].
  4. Hadamard matrices of order $36$ formed by codewords in some ternary self-dual codes (with Keita Ishizuka), Discrete Mathematics 347 (2024), 113661 (10 pp.) DOI: 10.1016/j.disc.2023.113661 (submitted: 2023.4.26, revised: 2023.7.31, accepted: 2023.8.6, proof: 2023.8.18, published: 2023.8.25) [arXiv:2303.05056].
  5. Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes (with Makoto Araya), Designs, Codes and Cryptography 91 (2023), 1813-1843 DOI: 10.1007/s10623-022-01172-7 (submitted: 2022.8.12, revised: 2022.12.2, accepted: 2022.12.14, proof: 2023.1.6, published: 2023.6.19) [arXiv:2212.01080].
  6. Hadamard matrices related to a certain series of ternary self-dual codes (with Makoto Araya and Koji Momihara), Designs, Codes and Cryptography 91 (2023), 795-805 DOI: 10.1007/s10623-022-01127-y (submitted: 2022.5.30, revised: 2022.9.22, accepted: 2022.9.26, proof: 2022.10.4, published: 2023.3.11) [arXiv:2205.15498].
  7. Construction of extremal Type II $\mathbb{Z}_{2k}$-codes, Finite Fields and Their Applications 87 (2023), 102154 (17 pp.) DOI: 10.1016/j.ffa.2022.102154 (submitted: 2022.1.23, revised: 2022.6.18, accepted: 2022.12.22, proof. 2023.1.1, published: 2023.2.21) [arXiv:2201.01439].
  8. Self-dual codes over $\mathbb{F}_5$ and $s$-extremal unimodular lattices, Discrete Mathematics 346 (2023) 113126 (11pp), (submitted: 2021.10.12, revised: 2022.7.31, accepted: 2022.8.7, proof: 2022.8.12, published: 2022.11.4) [arXiv:2208.03617].
  9. On the classification of quaternary optimal Hermitian LCD codes (with Makoto Araya), Cryptography and Communications 14 (2022) 833-847, (submitted: 2021.9.23, revised: 2021.11.29, 2021.12.8, accepted: 2021.12.16, proof: 2022.1.7, published: 2022.6.7) [arXiv:2011.04139].
  10. On the minimum weights of binary LCD codes and ternary LCD codes (with Makoto Araya and Ken Saito), Finite Fields and Their Applications 76 (2021) 101925, (submitted: 2020.11.18, revised: 2021.2.9, 2021.4.28, accepted: 2021.9.5, proof: 2021.9.15, published: 2021.9.21), [arXiv:1908.08661].
  11. Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes, Designs, Codes and Cryptography 89 (2021), 2295-2312 (submitted: 2021.1.28, revised: 2021.5.11, accepted: 2021.7.21, proof: 2021.7.30, published: 2021.9.19), [arXiv:2101.11821].
  12. Characterization and classification of optimal LCD codes (with Makoto Araya and Ken Saito), Designs, Codes and Cryptography 89 (2021), 617-640 (submitted: 2020.7.11, revised: 2020.12.14, accepted: 2020.12.16, proof: 2021.1.3, published:2021.4.9), [arXiv:1908.03294].
  13. On the existence of $s$-extremal singly even self-dual codes, Discrete Mathematics, Algorithms and Applications, 13 (2021), 2150014 (14 pages) (submitted: 2020.6.26, revised: 2020.8.24, accepted: 2020.8.26, proof: 2020.10.6, published: 2021.2.16), [arXiv:2004.05330].
  14. Construction of $s$-extremal optimal unimodular lattices in dimension 52, International Journal of Computer Mathematics: Computer Systems Theory 5 (2020), 87-91 (submitted: 2019.12.30, accepted: 2020.4.2. proof: 2020.4.25), [arXiv:1912.02358].
  15. Quaternary Hermitian linear complementary dual codes (with Makoto Araya and Ken Saito), IEEE Transactions on Information Theory 66 (2020), 2751-2759 (submitted: 2019.4.16, revised: 2019.9.2, accepted: 2019.10.9, proof: 2019.11.3, published: 2020.4.23), [arXiv:1904.07517].
  16. Remark on subcodes of linear complementary dual codes (with Ken Saito), Information Processing Letters 159-160 (2020), 105963 (3 pages) (submitted: 2019.8.23, revised: 2020.3.31, accepted: 2020.4.9, proof: 2020.4.17. published: 2020.4.21), [arXiv:1908.08662].
  17. Some optimal entanglement-assisted quantum codes constructed from quaternary Hermitian linear complementary dual codes, International Journal of Quantum Information 17 (2019), 1950053 (8 pages) (submitted: 2019.7.31, revised: 2019.12.5, 2019.12.11, accepted: 2019.12.12, proof: 2020.1.21, published: 2020.3.11), [arXiv:1908.00244].
  18. On the minimum weights of binary linear complementary dual codes (with Makoto Araya), Cryptography and Communications 12 (2020), 285-300 (submitted: 2018.7.10, revised: 2019.8.27, accepted: 2019.8.31, proof: 2019.9.7, published: 2020.3.4), [arXiv:1807.03525].
  19. On extremal double circulant self-dual codes of lengths 90-96 (with T. Aaron Gulliver), Applicable Algebra in Engineering, Communication and Computing 30 (2019), 403-415 (submitted: 2018.3.24, revised: 2018.11.10, accepted: 2019.1.28, proof: 2019.2.1, published: 2019.10.19), [arXiv:1601.07343].
  20. New doubly even self-dual codes having minimum weight 20, Advances in Mathematics of Communications 14 (2020), 89-96, (submitted: 2018.8.28, revised: 2019.2.22, accepted: 2019.2.26, proof: 2019.7.26, published:2019.9.16), [arXiv:1902.08739].
  21. Binary linear complementary dual codes (with Ken Saito), Cryptography and Communications 11 (2019), 677-696, (submitted: 2018.2.20, revised: 2018.4.11, 2018.5.18, accepted: 2018.6.16, proof: 2018.6.21, published: 2018.7.2), [arXiv: 1802.06985].
  22. Singly even self-dual codes of length $24k+10$ and minimum weight $4k+2$, Cryptography and Communications 11 (2019), 597-608, (submiited: 2017.12.6, revised: 2018.4.2, accepted: 2018.4.3, proof: 2018.5.9, published: 2018.7.2), [arXiv:1804.02129].
  23. On the classification of linear complementary dual codes (with Makoto Araya), Discrete Mathematics 342 (2019), 270-278, (submitted: 2018.3.30, revised: 2018.8.21, accepted: 2018.9.28, proof: 2018.10.15, published: 2018.10.27), [arXiv:1803.11335].
  24. New extremal singly even self-dual codes of lengths 64 and 66 (with Damyan Anev and Nikolay Yankov), Journal of Algebra Combinatorics Discrete Structures and Applications 5 (2018), 143-151, (submitted: 2017.8.21, revised: 2018.6.13, accepted:2018.6.13, proof: 2018.9.10, published: 2018.9.11), [arXiv: 1708.05950].
  25. Some restrictions on weight enumerators of singly even self-dual codes II (with Akihiro Munemasa), Interdisciplinary Information Sciences 24 (2018) 77-85, (submitted: 2017.6.12, revised: 2017.12.2, accepted: 2017.12.18, proof: 2018.1.11, published:2018.6.29), [arXiv:1706.03429].
  26. New quantum codes constructed from some self-dual additive $\mathbb{F}_4$-codes, Information Processing Letters 138 (2018) 35-38, (submitted 2017.11.16, revised: 2018.3.25, accepted:2018.5.28, proof: 2018.5.31, published: 2018.6.15), [arXiv:1805.12229].
  27. Architecture of an FPGA-based heterogeneous system for code-search problems (with Yuki Hiradate, Hasitha Muthumala Waidyasooriya, Masanori Hariyama), Lecture Notes in Computer Science 10776 (Supercomputing Frontiers) (2018) 146-155, (accepted: 2018.2.7, published: 2018.3.29).
  28. Binary extremal self-dual codes of length 60 and related codes, Designs, Codes and Cryptography 86 (2018) 1085-1094, (submitted: 2017.4.19, revised: 2017.6.6, 2017.6.10, accepted: 2017.6.17, proof: 2017.6.22, published: 2018.3.25), [arXiv:1706.01694].
  29. Nonexistence of certain singly even self-dual codes with minimal shadow (with Stefka Bouyuklieva and Akihiro Munemasa), Electronic Journal of Combinatorics 25 (2018), #P1.13, (submitted: 2017.7.12, revised: 2017.11.13, accepted: 2017.12.28, published: 2018.1.25), [Open Access, arXiv: 1707.04059].
  30. Ternary maximal self-orthogonal codes of lengths 21, 22 and 23 (with Makoto Araya and Yuichi Suzuki), Journal of Algebra Combinatorics Discrete Structures and Applications 5 (2018), 1-4, (submitted: 2016.12.27, accepted: 2017.4.6, proof: 2017.5.29, published:2017.12.30), [Open Access].
  31. Singly even self-dual codes constructed from Hadamard matrices of order 28 (with Ken Saito), Australasian Journal of Combinatorics 70 (2018), 288-296, (submitted: 2017.8.22, revised: 2017.12.4, accepted: 2017.12.4, proof: 2017.12.10, published: 2017.12.13), [Open Access].
  32. On the classification of $\mathbb{Z}_4$-codes (with Makoto Araya, Hiroki Ito and Ken Saito), Advances in Mathematics of Communications 11 (2017), 747-756, (submitted: 2016.4.7, accepted: 2017.7.3, proof: 2017.11.2, published:2017.11.30), [arXiv:1707.01356].
  33. On the performance of optimal double circulant even codes (with T. Aaron Gulliver), Advances in Mathematics of Communications 11 (2017), 767-775, (submitted: 2016.4.20, accepted: 2016.8.22, proof: 2017.11.6, published:2017.11.30), [arXiv:1604.06878].
  34. Performance of ternary double circulant, double twistulant, and self-dual codes (with T. Aaron Gulliver), Applicable Algebra in Engineering, Communication and Computing 28 (2017), 409-424, (submitted: 2016.9.9, revised: 2016.12.30, accepted: 2017.1.2, proof: 2017.1.14, published: 2017.11.4), [arXiv:1609.01809].
  35. On $s$-extremal singly even self-dual $[24k+8,12k+4,4k+2]$ codes (with Akihiro Munemasa), Finite Fields and Their Applications 48 (2017), 306-317, (submitted: 2017.1.5, revised: 2017.7.20, accepted:2017.8.21, proof: 2017.8.30, published: 2017.9.4), [arXiv:1511.02972].
  36. Self-dual codes and the non-existence of a quasi-symmetric $2$-$(37,9,8)$ design with intersection numbers $1$ and $3$ (with Akihiro Munemasa and Vladimir D. Tonchev), Journal of Combinatorial Designs 25 (2017), 469-476, (submitted: 2016.9.28, revised: 2016.12.31, accepted: 2017.1.4, proof: 2017.2.13, published: 2017.8.6), [arXiv:1606.08909].
  37. Extremal Type II $\mathbb{Z}_4$-codes constructed from binary doubly even self-dual codes of length 40, Discrete Mathematics 340 (2017), 2466-2468 (submitted: 2017.2.21, accepted: 2017.6.10, proof: 2017.6.21, published: 2017.7.5), [arXiv: 1706.03218].
  38. A note on the fertilization success of the first male during successive mating in the Japanese rhinoceros beetle Trypoxylus dichotomus septentrionalis (with Naoyuki Fujiyama), Journal of Insect Behavior 30 (2017) 231-236 (submitted: 2017.2.28, revised: 2017.4.13, accepted: 2017.4.20, proof: 2017.4.24, published: 2017.6.6).
  39. New self-dual additive $\mathbb{F}_4$-codes constructed from circulant graphs (with Markus Grassl), Discrete Mathematics 340 (2017), 399-403 (submitted: 2015.10.2, revised: 2016.6.24, accepted: 2016.8.23, proof: 2016.9.14, published: 2017.1.4), [arXiv:1509.04846].
  40. Quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices: a coding-theoretic approach (with Makoto Araya and Sho Suda), Mathematics of Computation 304 (2017), 951-984 (submitted: 2015.4.6, revised: 2015.9.16, 2015.9.30, accepted: 2015.10.7, proof: 2016.6.24, published: 2016.12.20), [arXiv:1504.01236].
  41. On the classification of self-dual $\mathbb{Z}_k$-codes II (with Akihiro Munemasa), Interdisciplinary Information Sciences 22 (2016), 81-85 (submitted: 2015.6.10, accepted: 2015.9.24, proof: 2015.10.20, published: 2016.11.21), [arXiv:1506.03281].
  42. Note on the residue codes of self-dual $\mathbb{Z}_4$-codes having large minimum Lee weights, Advances in Mathematics of Communications 10 (2016), 695-706 (submitted: 2014.3.26, revised: 2014.10.18, 2014.11.1, accepted: 2016.2.29, proof: 2016.10.24, published: 2016.11.8), [arXiv:1401.6252].
  43. On binary codes related to mutually quasi-unbiased weighing matrices (with Sho Suda), Australasian Journal of Combinatorics 66 (2016), 10-22 (submitted: 2015.4.14, revised: 2016.8.5, accepted: 2016.8.6, proof: 2016.8.9, published: 2016.8.14), [Open Access, arXiv:1504.03502].
  44. The weight distribution of the self-dual $[128, 64]$ polarity design code (with Ethan Novak and Vladimir D. Tonchev), Advances in Mathematics of Communications 10 (2016), 643-648 (submitted: 2015.7.16, revised: 2016.2.15, accepted: 2016.2.28, proof: 2016.7.25, published: 2016.8.5), [arXiv:1602.04661].
  45. On the classification of self-dual $[20,10,9]$ codes over GF(7) (with Akihiro Munemasa), Finite Fields and Their Applications 42 (2016), 57-66 (submitted: 2016.2.1, revised: 2016.6.6, accepted: 2016.7.11, proof: 2016.7.15, published: 2016.7.23), [arXiv:1509.03731].
  46. Supplementary difference sets related to a certain class of complex spherical 2-codes (with Makoto Araya and Sho Suda), Australasian Journal of Combinatorics 65 (2016), 71-83 (submitted: 2015.7.28, revised: 2016.2.8, accepted: 2016.2.21, proof: 2016.3.29, published: 2016.4.2), [Open Access, arXiv:1602.02851].
  47. On the classification of certain ternary codes of length 12 (with Makoto Araya), Hiroshima Math. J. 46 (2016), 87-96 (submitted: 2015.7.6, revised: 2015.7.16, 2015.7.17, accepted: 2015.9.29, proof: 2015.12.14, published: 2016.3.18), [arXiv:1508.02819].
  48. On a 5-design related to a putative extremal doubly even self-dual code of length a multiple of 24, Designs, Codes and Cryptography 76 (2015), 373-384 (submitted: 2013.12.16, revised: 2014.3.18, accepted: 2014.3.19, proof: 2014.4.8, published 2015.8.2). (preprint version PDF), [arXiv:1401.6254].
  49. Extremal Type I $\mathbb{Z}_k$-codes and $k$-frames of odd unimodular lattices, IEEE Transactions on Information Theory 61 (2015), 72-81 (submitted: 2014.4.30, accepted: 2014.8.4, proof: 2014.11.24, published 2014.12.23), [arXiv:1503.04584].
  50. Extremal unimodular lattices in dimension 36, International Journal of Combinatorics 2014 (2014), Article ID 792471, 7 pages (submitted: 2014.8.18, accepted: 2014.11.7, proof: 2014.11.25, published 2014.11.30) [Open Access, arXiv:1503.04587].
  51. On the classification of extremal doubly even self-dual codes with 2-transitive automorphism groups (with Naoki Chigira and Masaaki Kitazume), Designs, Codes and Cryptography 73 (2014), 33-35 (submitted: 2013.2.6, revised: 2013.2.13, accepted: 2013.2.19, proof: 2013.2.28, published: 2014.6.29), (preprint version PDF), [arXiv:1302.1626].
  52. On the existence of extremal Type II $\mathbb{Z}_{2k}$-codes (with Tsuyoshi Miezaki), Mathematics of Computation 83 (2014), 1427-1446 (submitted: 2012.5.31, revised: 2012.7.24, accepted: 2012.8.28, proof: 2013.6.5, published: 2014.4.4), (preprint version PDF), [arXiv:1205.6947].
  53. There is no $[21, 5, 14]$ code over $\mathbb{F}_5$ (with Makoto Araya), Discrete Mathematics 313 (2013), 2872-2874 (submitted: 2013.1.24, accepted: 2013.8.16, proof: 2013.9.11, published: 2013.9.30), (preprint version PDF), [arXiv:1205.5141].
  54. Residue codes of extremal Type II $\mathbb{Z}_4$-codes and the moonshine vertex operator algebra (with Ching Hung Lam and Akihiro Munemasa), Math. Zeitschrift 274 (2013), 685-700 (submitted: 2010.5.13, revised: 2011.9.16, 2012.8.10, accepted: 2012.8.21, proof: 2012.10.30, published: 2013.5.16), (preprint version PDF), [arXiv:1005.1144].
  55. Some extremal self-dual codes and unimodular lattices in dimension 40 (with S. Bouyuklieva and I. Bouyukliev), Finite Fields and Their Applications 21 (2013), 67-83 (submitted: 2012.3.22, revised: 2012.10.18, accepted: 2013.1.30, proof: 2013.2.9, published: 2013.2.18), (preprint version PDF), [arXiv:1111.2637].
  56. A complete classification of doubly even self-dual codes of length 40 (with Koichi Betsumiya and Akihiro Munemasa), Electronic Journal of Combinatorics 19 (2012), #P18 (12 pp.) (submitted: 2011.5.31, revised: 2012.7.30, accepted: 2012.7.27, published: 2012.8.9), [Open Access, arXiv:1104.3727].
  57. Classification of self-dual codes of length 36 (with Akihiro Munemasa), Advances in Mathematics of Communications 6 (2012), 229-235 (submitted: 2011.6.2, accepted: 2012.3.20, proof: 2012.4.22, published: 2012.4.29), (preprint version PDF), [arXiv:1012.5464].
  58. Optimal self-dual $\mathbb{Z}_4$-codes and a unimodular lattice in dimension 41, Finite Fields and Their Applications 18 (2012), 529-536, (submitted: 2010.4.20, revised: 2011.10.19, accepted: 2011.11.12, proof: 2011.11.24, published: 2012.3.6), (preprint version PDF), [arXiv:1111.3420].
  59. On the classification of weighing matrices and self-orthogonal codes (with Akihiro Munemasa), Journal of Combinatorial Designs 20 (2012), 40-57, (submitted: 2010.11.24, revised: 2011.3.26, accepted: 2011.6.7, proof: 2011.9.12, published: 2011.12.16), (preprint version PDF), [arXiv:1011.5382]
  60. An optimal odd unimodular lattice in dimension 72 (with Tsuyoshi Miezaki), Archiv der Mathematik 97 (2011), 529-533, (submitted: 2011.8.22, revised: 2011.9.27, accepted: 2011.10.17, proof: 2011.11.5, published: 2011.12.8), (preprint version PDF), [arXiv:1108.4262].
  61. Construction of some unimodular lattices with long shadows, International Journal of Number Theory 7 (2011), 1345-1358, (submitted: 2010.8.31, revised: 2010.10.25, accepted: 2010.11.9, proof: 2011.7.8), (preprint version PDF), [arXiv:1103.5519].
  62. Classification of quaternary Hermitian self-dual codes of length 20 (with Akihiro Munemasa), IEEE Transactions on Information Theory 57 (2011), 3758-3762, (submitted: 2010.4.6, revised: 2010.9.2, accepted: 2010.11.4, proof: 2011.4.30). (preprint version PDF), [arXiv:1012.0898].
  63. On the residue codes of extremal Type II $\mathbb{Z}_4$-codes of lengths 32 and 40, Discrete Mathematics 311 (2011), 2148-2157, (submitted: 2010.8.30, revised: 2011.4.20, 2011.5.17, accepted: 2011.6.20, proof: 2011.7.14, published: 2011.7.23), (preprint version PDF), [arXiv:1104.3925].
  64. Hadamard matrices of order 32 and extremal ternary self-dual codes (with Koichi Betsumiya and Hiroshi Kimura), Designs, Codes and Cryptography 58 (2011), 203-214 (preprint version PDF).
  65. Classification of generalized Hadamard matrices $H(6,3)$ and quaternary Hermitian self-dual codes of length 18 (with Clement Lam, Akihiro Munemasa and Vladimir D. Tonchev), Electronic Journal of Combinatorics 17 (2010), #R171 (14 pp.) [Open Access].
  66. An upper bound on the minimum weight of Type II $\mathbb{Z}_{2k}$-codes (with Tsuyoshi Miezaki), Journal of Combinatorial Theory, Series A 118 (2010), 190-196 (preprint version PDF).
  67. Extremal Type II $\mathbb{Z}_4$-codes of lengths 56 and 64, Journal of Combinatorial Theory, Series A 117 (2010), 1285-1288 (preprint version PDF).
  68. Mutually disjoint designs and new 5-designs derived from groups and codes (with Makoto Araya, Vladimir D. Tonchev and Alfred Wassermann), Journal of Combinatorial Designs 18 (2010), 305-317 (preprint version PDF).
  69. MDS self-dual codes of lengths 16 and 18 (with T.A. Gulliver), Inter. J. Inform.and Coding Theory 1 (2010), 208-213.
  70. New binary singly even self-dual codes (with Michael Kiermaier, Alfred Wassermann and Radinka Yorgova), IEEE Transactions on Information Theory 56 (2010), 1612-1617 (preprint version PDF).
  71. Mutually disjoint Steiner systems $S(5, 8, 24)$ and $5$-$(24,12,48)$ designs (with Makoto Araya), Electronic Journal of Combinatorics 17 (2010), #N1 (6 pp.) [Open Access].
  72. Classification of circulant $D$-optimal designs of orders 62 and 74 (with Makoto Araya), J. Statis. Appl. 4 (2009), 301-312 (preprint version PDF).
  73. On the classification of self-dual $\mathbb{Z}_k$-codes (with A. Munemasa), Lecture Notes in Computer Science 5921 (2009), 78-90.
  74. New extremal formally self-dual even codes of length 30 (with Katsushi Waki), Advances in Mathematics of Communications 3 (2009), 311-316.
  75. Classification of ternary extremal self-dual codes of length 28 (with A. Munemasa and B. Venkov), Mathematics of Computation 78 (2009), 1787-1796.
  76. A complete classification of ternary self-dual codes of length 24 (with A. Munemasa), Journal of Combinatorial Theory, Series A 116 (2009), 1063-1072.
  77. There exists no self-dual $[24,12,10]$ code over $\mathbb{F}_5$ (with A. Munemasa), Designs, Codes and Cryptography 52 (2009), 125-127.
  78. On the existence of frames of the Niemeier lattices and self-dual codes over $\mathbb{F}_p$, Journal of Algebra 321 (2009), 2345-2352.
  79. An extremal doubly even self-dual code of length 112 (generator matrix), Electronic Journal of Combinatorics 15 (2008), #N33 (5 pp.) [Open Access].
  80. Small non-embeddable quasi-derived designs (with Hiroki Miyabayashi), Journal of Combinatorial Designs 16 (2008), 364-372.
  81. New nonbinary self-dual codes (with T.A. Gulliver), IEEE Transactions on Information Theory 54 (2008), 415-417.
  82. On double circulant doubly even self-dual $[72, 36, 12]$ codes and their neighbors (with T. Aaron Gulliver), Australasian Journal of Combinatorics 40 (2008), 137-144.
  83. Determination of weight enumerators of binary extremal self-dual $[42, 21, 8]$ codes (with Stefka Bouyuklieva and Akihiro Munemasa), Finite Fields and Their Applications 14 (2008), 177-187.
  84. Extremal ternary self-dual codes constructed from negacirculant matrices (with W. Holzmann, H. Kharaghani and M. Khorvash), Graphs and Combinatorics 23 (2007), 401-417.
  85. Optimal double circulant self-dual codes over $\mathbb{F}_4$ II (with T. Aaron Gulliver and Hiroki Miyabayashi), Australasian Journal of Combinatorics 39 (2007), 163-174.
  86. Some self-dual codes invariant under the Hall-Janko group (with Naoki Chigira and Masaaki Kitazume), Journal of Algebra 316 (2007), 578-590.
  87. New extremal self-dual codes of length 66 (with Takuji Nishimura and Radinka Yorgova), Mathematica Balkanica 21 (2007), 113-121.
  88. Double circulant and quasi-twisted self-dual codes over $\mathbb{F}_5$ and $\mathbb{F}_7$ (with T. Aaron Gulliver and Hiroki Miyabayashi), Advances in Mathematics of Communications 1 (2007), 223-238.
  89. On the covering radii of extremal doubly even self-dual codes (with Akihiro Munemasa), Advances in Mathematics of Communications 1 (2007), 251-256.
  90. An extremal singly even self-dual code of length 88 (with Takuji Nishimura), Advances in Mathematics of Communications 1 (2007), 261-267.
  91. On the complete coset weight distributions of extremal formally self-dual even codes, Bull. Yamagata Univ. (Natural Sci.) 16 (2007), 71-79.
  92. Extremal self-dual codes of length 64 through neighbors and covering radii (with Naoki Chigira and Masaaki Kitazume), Designs, Codes and Cryptography 42 (2007), 93-101.
  93. Permutation groups and binary self-orthogonal codes (with Naoki Chigira and Masaaki Kitazume), Journal of Algebra 309 (2007), 610-621.
  94. Classification of extremal double circulant self-dual codes of lengths 74-88 (with T. Aaron Gulliver), Discrete Mathematics 306 (2006), 2064-2072.
  95. Orthogonal designs and MDS self-dual codes (with Hadi Kharaghani), Australasian Journal of Combinatorics 35 (2006), 57-67.
  96. Some restrictions on weight enumerators of singly even self-dual codes (with Akihiro Munemasa), IEEE Transactions on Information Theory 52 (2006), 1266-1269.
  97. Self-orthogonal $3$-$(56, 12, 65)$ designs and extremal doubly-even self-dual codes of length 56, Designs, Codes and Cryptography 38 (2006), 5-16.
  98. Near-extremal formally self-dual even codes of lengths 24 and 32 (with T. Aaron Gulliver, Takuji Nishimura and Patric R. J. Ostergard), Designs, Codes and Cryptography 37 (2005), 465-471.
  99. Remark on a 5-design related to a putative extremal doubly-even self-dual $[96, 48, 20]$ code, Designs, Codes and Cryptography 37 (2005), 355-358.
  100. On the complete coset weight distribution of the extremal self-dual $[46, 23, 10]$ code (with Takuji Nishimura), IEEE Transactions on Information Theory 51 (2005), 2700-2702.
  101. Extremal self-dual codes over $\mathbb{Z}_6$, $\mathbb{Z}_8$ and $\mathbb{Z}_{10}$ (with T.A. Gulliver), AKCE International Journal of Graphs and Combinatorics 2 (2005), 11-24.
  102. A characterization of designs related to an extremal doubly-even self-dual code of length 48 (with Akihiro Munemasa and Vladimir D. Tonchev), Annals of Combinatorics 9 (2005), 189-198.
  103. Orthogonal designs, self-dual codes and the Leech lattice (with Hadi Kharaghani), Journal of Combinatorial Designs 13 (2005), 184-194.
  104. Symmetric $(4, 4)$-nets and generalized Hadamard matrices over groups of order 4 (with C. Lam and V.D. Tonchev), Designs, Codes and Cryptography 34 (2005), 71-87.
  105. On some self-dual codes and unimodular lattices in dimension 48 (with Masaaki Kitazume, Akihiro Munemasa and Boris Venkov), European Journal of Combinatorics 26 (2005), 543-557.
  106. On the self-dual $\mathbb{F}_5$-codes constructed from Hadamard matrices of order 24, Journal of Combinatorial Designs 13 (2005), 152-156.
  107. On the covering radius of ternary extremal self-dual codes (with Michio Ozeki and Kenichiro Tanabe), Designs, Codes and Cryptography 33 (2004), 149-158.
  108. On a 5-design related to an extremal doubly-even self-dual code of length 72 (with Masaaki Kitazume and Akihiro Munemasa), Journal of Combinatorial Theory, Series A 107 (2004), 143-146.
  109. MDS codes over $\mathbb{F}_9$ related to the ternary Golay code (with Makoto Araya), Discrete Mathematics 282 (2004), 233-237.
  110. Extremal self-dual $[40, 20, 8]$ codes with covering radius 7 (with A. Munemasa and K. Tanabe), Finite Fields and Their Applications 10 (2004), 183-197.
  111. Optimal self-dual codes over $\mathbb{F}_2 \times \mathbb{F}_2$ with respect to the Hamming weight (with Koichi Betsumiya), IEEE Transactions on Information Theory 50 (2004), 356-358.
  112. On the minimum weight of codes over $\mathbb{F}_5$ constructed from certain conference matrices (with T.A. Gulliver), Designs, Codes and Cryptography 31 (2004), 139-145.
  113. Some Hadamard matrices of order 32 and their binary codes (with Makoto Araya and Hadi Kharaghani), Journal of Combinatorial Designs. 12 (2004), 142-146.
  114. Type II codes over $\mathbb{F}_ 2 +u \mathbb{F}_2$ and applications to Hermitian modular forms (with E. Bannai, T. Ibukiyama, A. Munemasa and M. Oura), Abhandlungen Math. Seminar Univ. Hamburg 73 (2003), 13-42.
  115. Formally self-dual codes related to Type II codes (with Koichi Betsumiya), Applicable Algebra in Engineering, Communication and Computing (AAECC). 14 (2003), 81-88.
  116. Some extremal self-dual codes with an automorphism of order 7 (with Radinka Dontcheva), Applicable Algebra in Engineering, Communication and Computing (AAECC). 14 (2003), 75-79.
  117. On Hadamard matrices of order $2(p+1)$ with an automorphism of odd prime order $p$ (with D.B. Dalan and A. Munemasa), Journal of Combinatorial Designs. 11 (2003), 367-380.
  118. Construction of new extremal self-dual codes (Erratum) (with T.A. Gulliver and J.-L. Kim), Discrete Mathematics 263 (2003), 81-91.
  119. On self-dual codes over some prime fields (with K. Betsumiya, S. Georgiou, T.A. Gulliver and C.Koukouvinos), Discrete Mathematics 262 (2003), 37-58.
  120. On the classification of self-dual codes over $\mathbb{F}_5$ (with P.R.J. Ostergard), Graphs and Combin. 19 (2003), 203-214.
  121. Extremal doubly-even $[80,40,16]$ codes with an automorphism of order 19 (with Radinka Dontcheva), Finite Fields and Their Applications 9 (2003), 157-167.
  122. Extremal self-dual codes over $\mathbb{F}_2 \times \mathbb{F}_2$ (with Koichi Betsumiya and T. Aaron Gulliver), Designs, Codes and Cryptography 28 (2003), 171-186.
  123. Extremal self-dual $[50, 25, 10]$ codes with automorphisms of order 3 and quasi-symmetric $2$-$(49, 9, 6)$ designs (with Stefka Bouyuklieva), Designs, Codes and Cryptography 28 (2003), 163-169.
  124. Extremal odd unimodular lattices in dimensions 44, 46 and 47, Hokkaido Math. J. 32 (2003), 153-159.
  125. Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms (with Vladimir Tonchev), Discrete Mathematics 264 (2003), 81-90.
  126. Ternary code construction of unimodular lattices and self-dual codes over $\mathbb{Z}_6$ (with M. Kitazume and M. Ozeki), Journal of Algebraic Combinatorics 16 (2002), 209-223.
  127. Self-dual and maximal self-orthogonal codes over $\mathbb{F}_7$ (with P.R.J. Ostergard), Discrete Mathematics 256 (2002), 471-477.
  128. Classification of extremal formally self-dual even codes of length 22 (with P.R.J. Ostergard), Graphs and Combinatorics 18 (2002), 507-516.
  129. $\mathbb{Z}_6$-code constructions of the Leech lattice and the Niemeier lattices (with Masaaki Kitazume), European Journal of Combinatorics 23 (2002), 573-581.
  130. New extremal self-dual codes of length 62 and related extremal self-dual codes (with R. Dontcheva), IEEE Transactions on Information Theory. 48 (2002), 2060-2064.
  131. On Type IV self-dual codes over $\mathbb{Z}_4$ (with Stefka Bouyuklieva), Discrete Mathematics 247 (2002), 25-50.
  132. A quasi-symmetric 2-(49,9,6) design (with Akihiro Munemasa), Journal of Combinatorial Designs 10 (2002), 173-179.
  133. Self-dual $\mathbb{Z}_4$-codes and Hadamard matrices, Discrete Mathematics 245 (2002), 273-278.
  134. Orthogonal designs and Type II codes over $\mathbb{Z}_{2k}$ (with Stelios Georgiou and Christos Koukouvinos), Designs, Codes and Cryptography 25 (2002), 163-174.
  135. Shadow codes over $\mathbb{Z}_4$ (with Steven T. Dougherty and Patrick Sole'), Finite Fields and Their Applications 7 (2001), 507-529.
  136. Type II codes over $\mathbb{F}_{2^r}$ (with K. Betsumiya and A. Munemasa), Lecture Notes in Computer Science 2227 (2001), 102-111.
  137. Optimal double circulant $\mathbb{Z}_4$-codes (with T.A. Gulliver), Lecture Notes in Computer Science 2227 (2001), 122-128.
  138. An extremal ternary self-dual $[28, 14, 9]$ code with a trivial automorphism group, Discrete Mathematics 239 (2001), 121-125.
  139. On Type II codes over $\mathbb{F}_4$ (with Koichi Betsumiya, T. Aaron Gulliver and Akihiro Munemasa), IEEE Transactions on Information Theory 47 (2001), 2242-2248.
  140. Orthogonal frames in the Leech lattice and a Type II code over $\mathbb{Z}_{22}$ (with T.A. Gulliver), Journal of Combinatorial Theory, Series A 95 (2001), 185-188.
  141. Classification of formally self-dual even codes of lengths up to 16 (with Koichi Betsumiya), Designs, Codes and Cryptography 23 (2001), 325-332.
  142. Note on the $g$-fold weight enumerators of self-dual codes over $\mathbb{Z}_k$ (with Steven T. Dougherty and Manabu Oura), Applicable Algebra in Engineering, Communication and Computing 11 (2001), 437-445.
  143. Binary optimal odd formally self-dual codes (with Koichi Betsumiya), Designs, Codes and Cryptography 23 (2001), 11-22.
  144. Codes over $\mathbb{F}_3 +u\mathbb{F}_3$, the Gray map and the improvements to the bound on ternary linear codes (with T. Aaron Gulliver), Designs, Codes and Cryptography 22 (2001), 89-96.
  145. Isodual codes over $\mathbb{Z}_{2k}$ and isodual lattices (with C. Bachoc and T. Aaron Gulliver), Journal of Algebraic Combinatorics 12 (2000), 223-240.
  146. Double circulant self-dual codes over GF(5) (with T. Aaron Gulliver), Ars Combinatoria 56 (2000), 3-13,
  147. On the existence of extremal Type II codes over $\mathbb{Z}_6$, Discrete Mathematics 223 (2000), 373-378.
  148. Classification of Type IV self-dual $\mathbb{Z}_4$-codes of length 16 (with Akihiro Munemasa), Finite Fields and Their Applications 6 (2000), 244-254
  149. Shadow lattices and shadow codes (with Steven T. Dougherty, P. Sole'), Discrete Mathematics 219 (2000), 49-64,
  150. $\mathbb{Z}_4$-code constructions for the Niemeier lattices and their embeddings in the Leech lattice (with Masaaki Kitazume), European Journal of Combinatorics 21 (2000), 473-485,
  151. Self-dual codes constructed from Hadamard matrices, Math. J. Okayama Univ. 40 (1998), [2000] 15-21.
  152. Optimal formally self-dual codes over $\mathbb{F}_5$ and $\mathbb{F}_7$ (with Steven T. Dougherty, and T. Aaron Gulliver), Applicable Algebra in Engineering, Communication and Computing 10 (2000), 227-236,
  153. Extremal self-dual codes with the smallest covering radius (with Michio Ozeki), Discrete Mathematics 215 (2000), 271-281,
  154. Type IV self-dual codes over rings (with Steven T. Dougherty, P. Gaborit, A. Munemasa, P. Sole'), IEEE Transactions on Information Theory 45 (1999), 2345-2360,
  155. Construction of optimal Type IV self-dual codes over $\mathbb{F}_2 +u\mathbb{F}_2$ (with T. Aaron Gulliver), IEEE Transactions on Information Theory 45 (1999), 2520-2521,
  156. New extremal self-dual codes of lengths 36 and 38, IEEE Transactions on Information Theory 45 (1999), 2541-2543.
  157. Binary optimal linear rate $1/2$ codes (with Koichi Betsumiya and T. Aaron Gulliver), Lecture Notes in Computer Sci. 1719 (1999), 462-471,
  158. An optimal unimodular lattice in dimension 39 (with T. Aaron Gulliver), Journal of Combinatorial Theory, Series A 88 (1999), 158-161.
  159. On binary extremal formally self-dual even codes (with Koichi Betsumiya and T. Aaron Gulliver), Kyushu J. Math. 53 (1999), 421-430.
  160. Shadow optimal self-dual codes (with Steven T. Dougherty), Kyushu J. Math. 53 (1999), 223-237.
  161. New extremal self-dual codes of length 68 (with Steven T. Dougherty), IEEE Transactions on Information Theory . 45 (1999), 2133-2136.
  162. On the covering radius of $\mathbb{Z}_4$-codes and their lattices (with Toru Aoki, Michio Ozeki, P. Gaborit and Patrick Sole'), IEEE Transactions on Information Theory . 45 (1999), 2162-2168.
  163. Self-dual codes over $\mathbb{Z}_4$ and unimodular lattices: a survey (with Philippe Gaborit and Patrick Sole'), the Proc. of ICAC (International Congress in Algebras and Combinatorics 1997 19-23 August, Hong Kong) published by Springer-Verlag (1999), 255-275.
  164. Type II self-dual codes over finite rings and even unimodular lattices (with Steven T. Dougherty and T. Aaron Gulliver), Journal of Algebraic Combinatorics 9 (1999), 233-250.
  165. Niemeier lattices and Type II codes over $\mathbb{Z}_4$ (with Alexis Bonnecaze, Philippe Gaborit, Masaaki Kitazume and Patrick Sole), Discrete Mathematics 205 (1999), 1-21.
  166. New optimal self-dual codes over GF(7) (with T. Aaron Gulliver), Graphs and Combinatorics 15 (1999), 175-186.
  167. Self-dual codes over rings and the Chinese remainder theorem (with Steven T. Dougherty and Patrick Sole'), Hokkaido Math. J. 28 (1999), 253-283.
  168. Construction of extremal Type II codes over $\mathbb{Z}_4$ (with Philippe Gaborit), Designs, Codes and Cryptography 16 (1999), 257-269.
  169. Type II codes, even unimodular lattices and invariant rings (with Eiichi Bannai, Steven T. Dougherty and Manabu Oura), IEEE Transactions on Information Theory 45 (1999), 1194-1205.
  170. Construction of an extremal self-dual code of length 62, IEEE Transactions on Information Theory 45 (1999), 1232 - 1233.
  171. Codes of lengths 120 and 136 meeting the Gray-Rankin bound and quasi-symmetric designs (with T. Aaron Gulliver), IEEE Transactions on Information Theory 45 (1999), 703-706.
  172. Type II codes over $\mathbb{F}_2+u\mathbb{F}_2$ (with Steven T. Dougherty, Philippe Gaborit and Patrick Sole'), IEEE Transactions on Information Theory 45 (1999), 32-45.
  173. On the Hamming weight enumerators of self-dual codes over $\mathbb{Z}_k$ (with Manabu Oura), Finite Fields and Their Applications 5 (1999), 26-34.
  174. Extremal double circulant Type II codes over $\mathbb{Z}_4$ and construction of 5-(24,10,36) designs (with T. Aaron Gulliver), Discrete Mathematics 194 (1999), 129-137.
  175. Optimal ternary formally self-dual codes (with Steven T. Dougherty and T. Aaron Gulliver), Discrete Mathematics 196 (1999), 117-135.
  176. Double circulant self-dual codes over $\mathbb{Z}_{2k}$ (with T. Aaron Gulliver), IEEE Transactions on Information Theory 44 (1998), 3105-3123.
  177. Classification of extremal double circulant self-dual codes of length up to 62 (with T. Aaron Gulliver and Hitoshi Kaneta), Discrete Mathematics 188 (1998), 127-136.
  178. New extremal ternary self-dual codes, Australasian Journal of Combinatorics 17 (1998), 133-145.
  179. New 5-designs constructed from the lifted Golay codes over $\mathbb{Z}_4$, Journal of Combinatorial Designs 6 (1998), 225-229. (The incidence matrices of the first 5-(24,12,1584) design and 5-(24,12,1632) design).
  180. On the existence of a formally self-dual even $[70,35,14]$ code, Applied Mathematics Letters 11 (1998), 95-98, (with T. Aaron Gulliver),.
  181. New extremal Type II codes over $\mathbb{Z}_4$, Designs, Codes and Cryptography 13 (1998), 271-284.
  182. Classification of extremal double circulant self-dual codes of lengths 64 to 72 (with T. Aaron Gulliver), Designs, Codes and Cryptography 13 (1998), 257-269.
  183. Weighing matrices and self-dual codes, Ars Combinatoria 47 (1997), 65-73.
  184. Extremal binary self-dual codes (with Steven T. Dougherty and T. Aaron Gulliver), IEEE Transactions on Information Theory 43 (1997), 2036-2047.
  185. Certain self-dual codes over $\mathbb{Z}_4$ and the odd Leech lattice (with T. Aaron Gulliver), Lecture Notes in Computer Sciences 1255 (1997), 130-137.
  186. The existence of a self-dual $[70,35,12]$ code and formally self-dual codes, Finite Fields and Their Applications 3 (1997), 131-139.
  187. Weight enumerators of double circulant codes and new extremal self-dual codes (with T. Aaron Gulliver), Designs, Codes and Cryptography 11 (1997), 141-150.
  188. Classification of extremal double circulant formally self-dual even codes (with T. Aaron Gulliver), Designs, Codes and Cryptography 11 (1997), 25-35.
  189. On extremal self-dual codes (with Hiroshi Kimura), Math. J. Okayama Univ. 37 (1995), 1-14.
  190. Existence of new extremal doubly-even codes and extremal singly-even codes, Designs, Codes and Cryptography 8 (1996), 273-283.
  191. Weight enumerators of extremal singly-even $[60, 30, 12]$ codes (with T. Aaron Gulliver), IEEE Transactions on Information Theory 42 (1996), 658-659.
  192. Singly-even self-dual codes and Hadamard matrices (with Vladimir D. Tonchev), in ``Proceedings of Applied Alg., Alg. Algorithms and Error-Correcting Codes (G. Cohen, M. Giusti and T. Mora, Eds.),''. Lecture Notes in Computer Science Vol. 948 279-284, Springer, Berlin, 1995.
  193. New extremal doubly-even $[64, 32, 12]$ codes (with Hiroshi Kimura), Designs, Codes and Cryptography 6 (1995), 91-96.

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