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Papers
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The graph zeta functions with respect to the group matrix of a finite group (with Iwao Sato).
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On Lattice Isomorphism Problems for Lattices from LCD Codes over Finite Rings (with Yusaku Nishimura and Katsuyuki Takashima).
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Neighbors, neighbor graphs and invariant rings in coding theory (with Himadri Shekhar Chakraborty, Williams Chiari, and Manabu Oura).
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Harmonic Tutte polynomials of matroids III (with Thomas Britz and Himadri Shekhar Chakraborty).
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Universal graph series, chromatic functions, and their index theory (with Akihiro Munemasa, Yusaku Nishimura, Tadashi Sakuma, and Shuhei Tsujie),
submitted.
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The Tutte polynomials of genus g (with Manabu Oura, Tadashi Sakuma, and Hidehiro Shinohara), submitted.
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A criterion for determining whether multiple shells support a t-design (with Madoka Awada, Reina Ishikawa, and Yuuho Tanaka), submitted.
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Equivariant theory for codes and lattices I (with Himadri Shekhar Chakraborty), submitted.
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Galois points for a finite graph (with Satoru Fukasawa), submitted.
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A note on the Assmus--Mattson theorem for some non-binary codes (with Eiichi Bannai and Hiroyuki Nakasora), to appear in Applicable Algebra in Engineering, Communication and Computing
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Jacobi polynomials, invariant rings, and generalized t-designs (with Himadri Shekhar Chakraborty, Nur Hamid, and Manabu Oura),
Discrete Mathematics 348 (2025), no. 6, Paper No. 114447. (2025 June).
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On the cycle index and the weight enumerator II (with Himadri Shekhar Chakraborty and Manabu Oura),
Journal of Algebra and Its Applications Vol. 23, No. 13 (2024) 2450235 (2024 November).
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On the support t-designs of extremal Type III and IV codes (with Hiroyuki Nakasora),
Applicable Algebra in Engineering, Communication and Computing, 35 (2024), no. 5, 591-613. (2024 Sep).
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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. (2024 May).
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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. (2024 Apr).
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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. (2024 Mar).
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Weighted Tutte--Grothendieck polynomials for graphs (with Himadri Shekhar Chakraborty and Chong Zheng),
Graphs and Combinatorics, 39 (2023), no. 5, 108. (2023, Oct).
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A note on the Assmus--Mattson theorem for some binary codes II (with Eiichi Bannai and Hiroyuki Nakasora),
Designs, Codes and Cryptography, 91, (2023), 2509-2522. (2023, July).
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Harmonic Tutte polynomials of matroids (with Himadri Shekhar Chakraborty and Manabu Oura),
Designs, Codes and Cryptography, 91, (2023), 2223-2236. (2023, June).
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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. (2023, July).
- Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices (with Gabriele Nebe),
Journal of Number Theory, 248 (2023), 294309. (2023, July).
- Jacobi polynomials and design theory I (with Himadri Shekhar Chakraborty, Manabu Oura and Yuuho Tanaka),
Discrete Mathematics 346 (2023) no. 6, No. 113339. (2023, June).
- Variants of Jacobi polynomials in coding theory (with Himadri Shekhar Chakraborty),
Designs, Codes and Cryptography, 90, (2022), 2583-2597. (2022, Nov), Special Issue: On Coding Theory and Combinatorics: In Memory of Vera Pless.
- A construction of spherical 3-designs,
Ukrainian Mathematical Journal, 74, (2022), 160-165. (2022, June).
- Weight enumerators, intersection enumerators and Jacobi polynomials II (with Himadri Shekhar Chakraborty and Manabu Oura),
Discrete Mathematics 345 (2022), no. 12, Paper No. 113098. (2022, Dec).
- A note on the Assmus--Mattson theorem for some binary codes (with Hiroyuki Nakasora),
Designs, Codes and Cryptography, 90 (2022), no. 6, 1485-1502, (2022, June).
- Tutte polynomial, complete invariant, and theta series (with Misaki Kume, Tadashi Sakuma, and Hidehiro Shinohara),
Graphs and Combinatorics, 37 (2021), no. 5, 1545-1558, (2021, Oct), Special Issue Dedicated to Professors Eiichi Bannai and Hikoe Enomoto on Their 75th Birthdays.
- Average of complete joint weight enumerators and self-dual codes (with Himadri Shekhar Chakraborty),
Designs, Codes and Cryptography, 89 (2021), no. 6, 1241-1254, (2021, May).
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A note on Assmus-Mattson type theorems (with Akihiro Munemasa and Hiroyuki Nakasora),
Designs, Codes and Cryptography, 89 (2021), no. 5, 843-858, (2021, May).
- Design-theoretic analogies between codes, lattices, and vertex operator algebras,
Designs, Codes and Cryptography, 89 (2021), no. 5, 763-780, (2021, May).
- On Eisenstein polynomials and zeta polynomials II (with Manabu Oura),
International Journal of Number Theory, 16 (2020), no. 1, 207-218. (2020, Feb).
- 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, (2019, Dec).
- New invariants for integral lattices (with Ryota Hayasaka and Masahiko Toki),
Interdisciplinary Information Sciences 25 (2019), no. 1, 53-57, (2019, Nov).
- The support designs of the triply even codes of length 48 (with Hiroyuki Nakasora),
Journal of Combinatorial Designs 27 (2019), no. 11, 673-681, (2019, Nov).
- On Eisenstein polynomials and zeta polynomials,
Journal of Pure and Applied Algebra, 223 (2019), no. 10, 4153-4160 (2019, June).
- On the cycle index and the weight enumerator (with Manabu Oura),
Designs, Codes and Cryptography, 87 (2019), no. 6, 1237-1242, (2019, June).
- 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, (2016, Apr).
- Congruences for the Fourier coefficients of the Mathieu mock theta function (with Matthias Waldherr),
Journal of Number Theory, 148 (2015), 451-462, (2015, Mar).
- The McKay-Thompson series of Mathieu Moonshine modulo two (with Thomas Creutzig and Gerald Hohn),
The Ramanujan Journal, 34 (2014), no. 3, 319-328, (2014, Aug).
- 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, (2014, Sep).
- On the Existence of Extremal Type II Z2k-Codes (with Masaaki Harada),
Mathematics of Computation 83 (2014), no. 287, 1427-1446, (2014, May).
- 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, (2013, Aug).
- On a generalization of spherical designs,
Discrete Mathematics 313 (2013), no. 4, 375-380, (2013, Feb).
- Conformal designs and D.H. Lehmer's conjecture,
Journal of Algebra, 374 (2013), 59-65 (2013, Jan).
- Frames in the odd Leech lattice,
Journal of Number Theory, 132 (2012), no. 12, 2773-2778, (2012, Dec).
- On Euclidean designs and potential energy (with Makoto Tagami),
Electronic Journal of Combinatorics 19 (2012), no. 1, Paper 2, 18 pp, (2012, Jan).
- On the Mathieu mock theta function,
Proceedings of the Japan Academy, Ser. A Mathematical Sciences 88 (2012), no. 2, 28-30, (2012, Feb).
- On a property of 2-dimensional integral Euclidean lattices (with Eiichi Bannai),
Journal of Number Theory 132 (2012), no. 3, 371-378, (2012, Mar).
- 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, (2011, Dec).
- An Optimal Odd Unimodular Lattice in Dimension 72 (with Masaaki Harada),
Archiv der Mathematik 97 (2011), no. 6, 529-533, (2011, Nov).
- 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, (2011, Jan).
- Nonexistence for extremal Type II Z2k-Codes,
Kumamoto Journal of Mathematics 23 (2010), 27-35.
- Toy models for D.H. Lehmer's conjecture (with Eiichi Bannai),
Journal of the Mathematical Society of Japan 62 (2010), no. 3, 687-705, (2010, Jul).
- 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.
- On the zeros of Eisenstein series for \Gamma_0^\ast(2) and \Gamma_0^\ast(3) (with Hiroshi Nozaki and Junichi Shigezumi),
Journal of the Mathematical Society of Japan 59 (2007), no. 3, 693-706, (2007, Oct).
- 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, (2005, Dec).