Papers

• In preparation:

  • 1. (with Naoki Fujii, Yusaku Nishimura, and Ryosuke Yamaguchi)

    2. (with Naoki Fujii, Yusaku Nishimura, and Ryosuke Yamaguchi)

    3. (with Hiroshi Suzuki and Keisuke Uchida)

    4. (with Iwao Sato)

    5. (with Thomas Britz and Himadri Shekhar Chakraborty)

    6. (with Himadri Shekhar Chakraborty, Williams Chiari, and Manabu Oura)

    7. (with Himadri Shekhar Chakraborty, Nur Hamid, and Manabu Oura)

• Submitted:

• • 1. Universal graph series, chromatic functions, and their index theory (with Akihiro Munemasa, Yusaku Nishimura, Tadashi Sakuma, and Shuhei Tsujie), arXiv. 

    2. The Tutte polynomials of genus g (with Manabu Oura, Tadashi Sakuma, and Hidehiro Shinohara), arXiv. 

    3. A criterion for determining whether multiple shells support a t-design (with Madoka Awada, Reina Ishikawa, and Yuuho Tanaka), arXiv. 

    4. Equivariant theory for codes and lattices I (with Himadri Shekhar Chakraborty), arXiv. 

    5. Galois points for a finite graph (with Satoru Fukasawa), arXiv. 

• In press:

  • 1. A note on the Assmus--Mattson theorem for some ternary codes (with Eiichi Bannai and Hiroyuki Nakasora), to appear in Applicable Algebra in Engineering, Communication and Computing, arXiv. 

    2. On the cycle index and the weight enumerator II (with Himadri Shekhar Chakraborty and Manabu Oura), to appear in Journal of Algebra and Its Applications, arXiv. 

    3. On the support t-designs of extremal Type III and IV codes (with Hiroyuki Nakasora), to appear in Applicable Algebra in Engineering, Communication and Computing, arXiv.  

• In print:

• • 1. Harmonic Tutte polynomials of matroids II (with Thomas Britz, Himadri Shekhar Chakraborty, Reina Ishikawa, and Hopein Christofen Tang), 

Designs, Codes and Cryptography, 92 (2024), no. 5, 1279-1297, arXiv. (2024 May). 

• • 2. Jacobi polynomials and harmonic weight enumerators of the first-order Reed--Muller codes and the extended Hamming codes (with Akihiro Munemasa), 

Designs, Codes and Cryptography, 92 (2024), no. 4, 1041-1049, arXiv. (2024 Apr). 

• • 3. A note on a t-design in isodual codes (with Madoka Awada, Akihiro Munemasa, and Hiroyuki Nakasora), 

Finite Fields and Their Applications, 95 (2024), 102366, arXiv. (2024 Mar). 

• • 4. Weighted Tutte--Grothendieck polynomials for graphs (with Himadri Shekhar Chakraborty and Chong Zheng), 

Graphs and Combinatorics, 39 (2023), no. 5, 108,  arXiv. (2023, Oct). 

• • 5. A note on the Assmus--Mattson theorem for some binary codes II (with Eiichi Bannai and Hiroyuki Nakasora), 

Designs, Codes and Cryptography, 91 (2023), no. 7, 2509-2522,  arXiv. (2023, July). 

• • 6. Harmonic Tutte polynomials of matroids (with Himadri Shekhar Chakraborty and Manabu Oura), 

Designs, Codes and Cryptography, 91 (2023), no. 6, 2223-2236, arXiv. (2023, June). 

• • 7. On the Assmus–Mattson type theorem for Type I and even formally self-dual codes (with Hiroyuki Nakasora), 

Journal of Combinatorial Designs, 31 (2023), no. 7, 335-344, arXiv, (2023, July). 

• • 8. Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices (with Gabriele Nebe), 

Journal of Number Theory, 248 (2023), 294309, arXiv. (2023, July). 

• • 9. Jacobi polynomials and design theory I (with Himadri Shekhar Chakraborty, Manabu Oura and Yuuho Tanaka),

Discrete Mathematics 346 (2023) no. 6, No. 113339, arXiv. (2023, June). 

• • 10. Variants of Jacobi polynomials in coding theory (with Himadri Shekhar Chakraborty), 

Designs, Codes and Cryptography, 90 (2022), 2583-2597, arXiv. (2022, Nov). 

Special Issue: On Coding Theory and Combinatorics: In Memory of Vera Pless.

• • 11. A construction of spherical 3-designs, 

Ukrainian Mathematical Journal, 74 (2022), 160-165, arXiv. (2022, June). 

• • 12. Weight enumerators, intersection enumerators and Jacobi polynomials II (with Himadri Shekhar Chakraborty and Manabu Oura), 

Discrete Mathematics 345 (2022), no. 12, Paper No. 113098, arXiv. (2022, Dec). 

• • 13. A note on the Assmus--Mattson theorem for some binary codes (with Hiroyuki Nakasora),

Designs, Codes and Cryptography, 90 (2022), no. 6, 1485-1502, arXiv, (2022, June). 

• • 14. Tutte polynomial, complete invariant, and theta series (with Misaki Kume, Tadashi Sakuma, and Hidehiro Shinohara),

Graphs and Combinatorics, 37 (2021), no. 5, 1545-1558, arXiv, (2021, Oct), 

Special Issue Dedicated to Professors Eiichi Bannai and Hikoe Enomoto on Their 75th Birthdays. 

• • 15. Average of complete joint weight enumerators and self-dual codes (with Himadri Shekhar Chakraborty),

Designs, Codes and Cryptography, 89 (2021), no. 6, 1241-1254, arXiv, (2021, June). 

• • 16. A note on Assmus-Mattson type theorems (with Akihiro Munemasa and Hiroyuki Nakasora),

Designs, Codes and Cryptography, 89 (2021), no. 5, 843-858, arXiv, (2021, May). 

• • 17. Design-theoretic analogies between codes, lattices, and vertex operator algebras,

Designs, Codes and Cryptography, 89 (2021), no. 5, 763-780, arXiv, (2021, May). 

• • 18. On Eisenstein polynomials and zeta polynomials II (with Manabu Oura),

International Journal of Number Theory, 16 (2020), no. 1, 207-218, arXiv. (2020, Feb).

• • 19. A generalization of the Tutte polynomials (with Manabu Oura, Tadashi Sakuma, and Hidehiro Shinohara), 

Proceedings of the Japan Academy, Ser. A Mathematical Sciences 95 (2019), no. 10, 111-113, arXiv, (2019, Dec).

• • 20. New invariants for integral lattices (with Ryota Hayasaka and Masahiko Toki), 

Interdisciplinary Information Sciences 25 (2019), no. 1, 53-57, arXiv, (2019, Nov).

• • 21. The support designs of the triply even codes of length 48 (with Hiroyuki Nakasora), 

Journal of Combinatorial Designs 27 (2019), no. 11, 673-681, arXiv, (2019, Nov).

• • 22. On Eisenstein polynomials and zeta polynomials, 

Journal of Pure and Applied Algebra, 223 (2019), no. 10, 4153-4160, arXiv (2019, June). 

• • 23. On the cycle index and the weight enumerator (with Manabu Oura),

Designs, Codes and Cryptography, 87 (2019), no. 6, 1237-1242, arXiv, (2019, June). 

• • 24. An upper bound of the value of t of the support t-designs of extremal binary doubly even self-dual codes (with Hiroyuki Nakasora),

Designs, Codes and Cryptography, 79 (2016), no. 1, 37-46, arXiv, (2016, Apr).

• • 25. Congruences for the Fourier coefficients of the Mathieu mock theta function (with Matthias Waldherr),

Journal of Number Theory, 148 (2015), 451-462, (2015, Mar).

• • 26. The McKay-Thompson series of Mathieu Moonshine modulo two (with Thomas Creutzig and Gerald Höhn),

The Ramanujan Journal, 34 (2014), no. 3, 319-328, arXiv, (2014, Aug).

• • 27. On the support designs of extremal binary doubly even self-dual codes (with Naoyuki Horiguchi and Hiroyuki Nakasora),

Designs, Codes and Cryptography, 72 (2014), no. 3, 529-537, arXiv, (2014, Sep). 

• • 28. On the Existence of Extremal Type II Z2k-Codes (with Masaaki Harada),

Mathematics of Computation 83 (2014), no. 287, 1427-1446, arXiv, (2014, May). 

• • 29. Toy models for D.H. Lehmer's conjecture II (with Eiichi Bannai),

Quadratic and Higher Degree Forms, 1-27, Dev. Math., 31, Springer, New York, 2013, arXiv, (2013, Aug). 

• • 30. On a generalization of spherical designs,

Discrete Mathematics 313 (2013), no. 4, 375-380, (2013, Feb). 

• • 31. Conformal designs and D.H. Lehmer's conjecture,

Journal of Algebra, 374 (2013), 59-65, arXiv (2013, Jan). 

• • 32. Frames in the odd Leech lattice,

Journal of Number Theory, 132 (2012), no. 12, 2773-2778, arXiv, (2012, Dec). 

• • 33. On Euclidean designs and potential energy (with Makoto Tagami),

Electronic Journal of Combinatorics 19 (2012), no. 1, Paper 2, 18 pp, arXiv, (2012, Jan). 

• • 34. On the Mathieu mock theta function,

Proceedings of the Japan Academy, Ser. A Mathematical Sciences 88 (2012), no. 2, 28-30, (2012, Feb). 

• • 35. On a property of 2-dimensional integral Euclidean lattices (with Eiichi Bannai), 

Journal of Number Theory 132 (2012), no. 3, 371-378, arXiv, (2012, Mar). 

• • 36. An elementary approach to toy models for D.H. Lehmer's conjecture (Russian) (with Eiichi Bannai and Vladimir A. Yudin),

Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya 75 (2011), no. 6, 3-16; translation in Izvestiya: Mathematics 75 (2011), no. 6, 1093-1106, arXiv, (2011, Dec). 

• • 37. An Optimal Odd Unimodular Lattice in Dimension 72 (with Masaaki Harada), 

Archiv der Mathematik 97 (2011), no. 6, 529-533, arXiv, (2011, Nov). 

• • 38. An Upper Bound on the Minimum Weight of Type II Z2k-Codes (with Masaaki Harada),

Journal of Combinatorial Theory, Series A 118 (2011), no. 1, 190-196, arXiv, (2011, Jan). 

• • 39. Nonexistence for extremal Type II Z2k-Codes,

Kumamoto Journal of Mathematics 23 (2010), 27-35, arXiv.

• • 40. Toy models for D.H. Lehmer's conjecture (with Eiichi Bannai),

Journal of the Mathematical Society of Japan 62 (2010), no. 3, 687-705, arXiv, (2010, Jul). 

• • 41. On the zeros of Hecke-type Faber polynomials (with Eiichi Bannai and Koji Kojima),

Kyushu Journal of Mathematics 62 (2008), no. 1, 15-61, pdf.

• • 42. On the zeros of Eisenstein series for Γ0 *(2) and Γ0 *(3) (with Hiroshi Nozaki and Junichi Shigezumi),

Journal of the Mathematical Society of Japan 59 (2007), no. 3, 693-706, arXiv, (2007, Oct). 

• • 43. Question and Answer Check System for Mathematics on the Web (with Seiichi Toyota and Masakazu Suzuki),

Proceedings of the Seventh Asian Symposium on Computer Mathematics, 263-266, 2005, pdf, (2005, Dec).