Publications


Update: 2024.5.29
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  1. On the minimum weights of quaternary Hermitian LCD codes (with Makoto Araya), submitted to CS (2024.1.29).

  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).
  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].
  3. 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 (submitted: 2022.6.16, revised: 2022.8.26, accepted: 2022.9.20, proof: 2022.10.4).

  1. 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].
  2. 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].
  3. 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].
  4. 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].
  5. 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].
  6. 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].
  7. 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].
  8. 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].
  9. 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].
  10. 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].
  11. 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].
  12. 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].
  13. 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].
  14. 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].
  15. 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].
  16. 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].
  17. 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].
  18. 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].
  19. 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].
  20. 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].
  21. 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].
  22. 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].
  23. 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].
  24. 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].
  25. 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].
  26. 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).
  27. 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].
  28. 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].
  29. 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].
  30. 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].
  31. 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].
  32. 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].
  33. 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].
  34. 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].
  35. 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].
  36. 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].
  37. 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).
  38. 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].
  39. 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].
  40. 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].
  41. 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].
  42. 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].
  43. 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].
  44. 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].
  45. 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].
  46. 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].
  47. 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].
  48. 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].
  49. 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].
  50. 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].
  51. 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].
  52. 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].
  53. 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].
  54. 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].
  55. 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].
  56. 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].
  57. 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].
  58. 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]
  59. 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].
  60. 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].
  61. 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].
  62. 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].
  63. 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).
  64. 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].
  65. 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).
  66. 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).
  67. 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).
  68. MDS self-dual codes of lengths 16 and 18 (with T.A. Gulliver), Inter. J. Inform.and Coding Theory 1 (2010), 208-213.
  69. 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).
  70. 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].
  71. Classification of circulant $D$-optimal designs of orders 62 and 74 (with Makoto Araya), J. Statis. Appl. 4 (2009), 301-312 (preprint version PDF).
  72. On the classification of self-dual $\mathbb{Z}_k$-codes (with A. Munemasa), Lecture Notes in Computer Science 5921 (2009), 78-90.
  73. New extremal formally self-dual even codes of length 30 (with Katsushi Waki), Advances in Mathematics of Communications 3 (2009), 311-316.
  74. Classification of ternary extremal self-dual codes of length 28 (with A. Munemasa and B. Venkov), Mathematics of Computation 78 (2009), 1787-1796.
  75. A complete classification of ternary self-dual codes of length 24 (with A. Munemasa), Journal of Combinatorial Theory, Series A 116 (2009), 1063-1072.
  76. There exists no self-dual $[24,12,10]$ code over $\mathbb{F}_5$ (with A. Munemasa), Designs, Codes and Cryptography 52 (2009), 125-127.
  77. On the existence of frames of the Niemeier lattices and self-dual codes over $\mathbb{F}_p$, Journal of Algebra 321 (2009), 2345-2352.
  78. An extremal doubly even self-dual code of length 112 (generator matrix), Electronic Journal of Combinatorics 15 (2008), #N33 (5 pp.) [Open Access].
  79. Small non-embeddable quasi-derived designs (with Hiroki Miyabayashi), Journal of Combinatorial Designs 16 (2008), 364-372.
  80. New nonbinary self-dual codes (with T.A. Gulliver), IEEE Transactions on Information Theory 54 (2008), 415-417.
  81. 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.
  82. 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.
  83. Extremal ternary self-dual codes constructed from negacirculant matrices (with W. Holzmann, H. Kharaghani and M. Khorvash), Graphs and Combinatorics 23 (2007), 401-417.
  84. 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.
  85. Some self-dual codes invariant under the Hall-Janko group (with Naoki Chigira and Masaaki Kitazume), Journal of Algebra 316 (2007), 578-590.
  86. New extremal self-dual codes of length 66 (with Takuji Nishimura and Radinka Yorgova), Mathematica Balkanica 21 (2007), 113-121.
  87. 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.
  88. On the covering radii of extremal doubly even self-dual codes (with Akihiro Munemasa), Advances in Mathematics of Communications 1 (2007), 251-256.
  89. An extremal singly even self-dual code of length 88 (with Takuji Nishimura), Advances in Mathematics of Communications 1 (2007), 261-267.
  90. On the complete coset weight distributions of extremal formally self-dual even codes, Bull. Yamagata Univ. (Natural Sci.) 16 (2007), 71-79.
  91. 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.
  92. Permutation groups and binary self-orthogonal codes (with Naoki Chigira and Masaaki Kitazume), Journal of Algebra 309 (2007), 610-621.
  93. Classification of extremal double circulant self-dual codes of lengths 74-88 (with T. Aaron Gulliver), Discrete Mathematics 306 (2006), 2064-2072.
  94. Orthogonal designs and MDS self-dual codes (with Hadi Kharaghani), Australasian Journal of Combinatorics 35 (2006), 57-67.
  95. Some restrictions on weight enumerators of singly even self-dual codes (with Akihiro Munemasa), IEEE Transactions on Information Theory 52 (2006), 1266-1269.
  96. 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.
  97. 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.
  98. 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.
  99. 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.
  100. 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.
  101. 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.
  102. Orthogonal designs, self-dual codes and the Leech lattice (with Hadi Kharaghani), Journal of Combinatorial Designs 13 (2005), 184-194.
  103. 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.
  104. 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.
  105. On the self-dual $\mathbb{F}_5$-codes constructed from Hadamard matrices of order 24, Journal of Combinatorial Designs 13 (2005), 152-156.
  106. On the covering radius of ternary extremal self-dual codes (with Michio Ozeki and Kenichiro Tanabe), Designs, Codes and Cryptography 33 (2004), 149-158.
  107. 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.
  108. MDS codes over $\mathbb{F}_9$ related to the ternary Golay code (with Makoto Araya), Discrete Mathematics 282 (2004), 233-237.
  109. 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.
  110. 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.
  111. 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.
  112. Some Hadamard matrices of order 32 and their binary codes (with Makoto Araya and Hadi Kharaghani), Journal of Combinatorial Designs. 12 (2004), 142-146.
  113. 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.
  114. Formally self-dual codes related to Type II codes (with Koichi Betsumiya), Applicable Algebra in Engineering, Communication and Computing (AAECC). 14 (2003), 81-88.
  115. 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.
  116. 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.
  117. Construction of new extremal self-dual codes (Erratum) (with T.A. Gulliver and J.-L. Kim), Discrete Mathematics 263 (2003), 81-91.
  118. 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.
  119. On the classification of self-dual codes over $\mathbb{F}_5$ (with P.R.J. Ostergard), Graphs and Combin. 19 (2003), 203-214.
  120. 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.
  121. 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.
  122. 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.
  123. Extremal odd unimodular lattices in dimensions 44, 46 and 47, Hokkaido Math. J. 32 (2003), 153-159.
  124. Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms (with Vladimir Tonchev), Discrete Mathematics 264 (2003), 81-90.
  125. 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.
  126. Self-dual and maximal self-orthogonal codes over $\mathbb{F}_7$ (with P.R.J. Ostergard), Discrete Mathematics 256 (2002), 471-477.
  127. Classification of extremal formally self-dual even codes of length 22 (with P.R.J. Ostergard), Graphs and Combinatorics 18 (2002), 507-516.
  128. $\mathbb{Z}_6$-code constructions of the Leech lattice and the Niemeier lattices (with Masaaki Kitazume), European Journal of Combinatorics 23 (2002), 573-581.
  129. 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.
  130. On Type IV self-dual codes over $\mathbb{Z}_4$ (with Stefka Bouyuklieva), Discrete Mathematics 247 (2002), 25-50.
  131. A quasi-symmetric 2-(49,9,6) design (with Akihiro Munemasa), Journal of Combinatorial Designs 10 (2002), 173-179.
  132. Self-dual $\mathbb{Z}_4$-codes and Hadamard matrices, Discrete Mathematics 245 (2002), 273-278.
  133. Orthogonal designs and Type II codes over $\mathbb{Z}_{2k}$ (with Stelios Georgiou and Christos Koukouvinos), Designs, Codes and Cryptography 25 (2002), 163-174.
  134. Shadow codes over $\mathbb{Z}_4$ (with Steven T. Dougherty and Patrick Sole'), Finite Fields and Their Applications 7 (2001), 507-529.
  135. Type II codes over $\mathbb{F}_{2^r}$ (with K. Betsumiya and A. Munemasa), Lecture Notes in Computer Science 2227 (2001), 102-111.
  136. Optimal double circulant $\mathbb{Z}_4$-codes (with T.A. Gulliver), Lecture Notes in Computer Science 2227 (2001), 122-128.
  137. An extremal ternary self-dual $[28, 14, 9]$ code with a trivial automorphism group, Discrete Mathematics 239 (2001), 121-125.
  138. 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.
  139. 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.
  140. Classification of formally self-dual even codes of lengths up to 16 (with Koichi Betsumiya), Designs, Codes and Cryptography 23 (2001), 325-332.
  141. 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.
  142. Binary optimal odd formally self-dual codes (with Koichi Betsumiya), Designs, Codes and Cryptography 23 (2001), 11-22.
  143. 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.
  144. Isodual codes over $\mathbb{Z}_{2k}$ and isodual lattices (with C. Bachoc and T. Aaron Gulliver), Journal of Algebraic Combinatorics 12 (2000), 223-240.
  145. Double circulant self-dual codes over GF(5) (with T. Aaron Gulliver), Ars Combinatoria 56 (2000), 3-13,
  146. On the existence of extremal Type II codes over $\mathbb{Z}_6$, Discrete Mathematics 223 (2000), 373-378.
  147. 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
  148. Shadow lattices and shadow codes (with Steven T. Dougherty, P. Sole'), Discrete Mathematics 219 (2000), 49-64,
  149. $\mathbb{Z}_4$-code constructions for the Niemeier lattices and their embeddings in the Leech lattice (with Masaaki Kitazume), European Journal of Combinatorics 21 (2000), 473-485,
  150. Self-dual codes constructed from Hadamard matrices, Math. J. Okayama Univ. 40 (1998), [2000] 15-21.
  151. 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,
  152. Extremal self-dual codes with the smallest covering radius (with Michio Ozeki), Discrete Mathematics 215 (2000), 271-281,
  153. 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,
  154. 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,
  155. New extremal self-dual codes of lengths 36 and 38, IEEE Transactions on Information Theory 45 (1999), 2541-2543.
  156. Binary optimal linear rate $1/2$ codes (with Koichi Betsumiya and T. Aaron Gulliver), Lecture Notes in Computer Sci. 1719 (1999), 462-471,
  157. An optimal unimodular lattice in dimension 39 (with T. Aaron Gulliver), Journal of Combinatorial Theory, Series A 88 (1999), 158-161.
  158. On binary extremal formally self-dual even codes (with Koichi Betsumiya and T. Aaron Gulliver), Kyushu J. Math. 53 (1999), 421-430.
  159. Shadow optimal self-dual codes (with Steven T. Dougherty), Kyushu J. Math. 53 (1999), 223-237.
  160. New extremal self-dual codes of length 68 (with Steven T. Dougherty), IEEE Transactions on Information Theory . 45 (1999), 2133-2136.
  161. 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.
  162. 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.
  163. 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.
  164. 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.
  165. New optimal self-dual codes over GF(7) (with T. Aaron Gulliver), Graphs and Combinatorics 15 (1999), 175-186.
  166. Self-dual codes over rings and the Chinese remainder theorem (with Steven T. Dougherty and Patrick Sole'), Hokkaido Math. J. 28 (1999), 253-283.
  167. Construction of extremal Type II codes over $\mathbb{Z}_4$ (with Philippe Gaborit), Designs, Codes and Cryptography 16 (1999), 257-269.
  168. 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.
  169. Construction of an extremal self-dual code of length 62, IEEE Transactions on Information Theory 45 (1999), 1232 - 1233.
  170. 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.
  171. 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.
  172. 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.
  173. 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.
  174. Optimal ternary formally self-dual codes (with Steven T. Dougherty and T. Aaron Gulliver), Discrete Mathematics 196 (1999), 117-135.
  175. Double circulant self-dual codes over $\mathbb{Z}_{2k}$ (with T. Aaron Gulliver), IEEE Transactions on Information Theory 44 (1998), 3105-3123.
  176. 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.
  177. New extremal ternary self-dual codes, Australasian Journal of Combinatorics 17 (1998), 133-145.
  178. 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).
  179. On the existence of a formally self-dual even $[70,35,14]$ code, Applied Mathematics Letters 11 (1998), 95-98, (with T. Aaron Gulliver),.
  180. New extremal Type II codes over $\mathbb{Z}_4$, Designs, Codes and Cryptography 13 (1998), 271-284.
  181. 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.
  182. Weighing matrices and self-dual codes, Ars Combinatoria 47 (1997), 65-73.
  183. Extremal binary self-dual codes (with Steven T. Dougherty and T. Aaron Gulliver), IEEE Transactions on Information Theory 43 (1997), 2036-2047.
  184. 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.
  185. The existence of a self-dual $[70,35,12]$ code and formally self-dual codes, Finite Fields and Their Applications 3 (1997), 131-139.
  186. Weight enumerators of double circulant codes and new extremal self-dual codes (with T. Aaron Gulliver), Designs, Codes and Cryptography 11 (1997), 141-150.
  187. Classification of extremal double circulant formally self-dual even codes (with T. Aaron Gulliver), Designs, Codes and Cryptography 11 (1997), 25-35.
  188. On extremal self-dual codes (with Hiroshi Kimura), Math. J. Okayama Univ. 37 (1995), 1-14.
  189. Existence of new extremal doubly-even codes and extremal singly-even codes, Designs, Codes and Cryptography 8 (1996), 273-283.
  190. Weight enumerators of extremal singly-even $[60, 30, 12]$ codes (with T. Aaron Gulliver), IEEE Transactions on Information Theory 42 (1996), 658-659.
  191. 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.
  192. New extremal doubly-even $[64, 32, 12]$ codes (with Hiroshi Kimura), Designs, Codes and Cryptography 6 (1995), 91-96.

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