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| Jacobi polynomials, invariant rings, and generalized t-designs arXiv | |
| Discrete Math. 348 (2025, June), no. 6, Paper No. 114447, 14 pp. |
| [40] | H. S. Chakraborty, T. Miezaki, M. Oura |
| On the cycle index and the weight enumerator II arXiv | |
| Journal of Algebra and Its Applications
Vol. 23, No. 13 (2024, November) 2450235 (24 pages) https://doi.org/10.1142/S0219498824502359 |
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| Note on the Type II codes of length $24$ [pdf] | |
| Kumamoto J. Math. 37 (2024, April), 1-9. |
| [38] | M. Oura, J. Sekiguchi |
| Basic Invariants of the Complex Reflection Group No.34 Constructed by Conway and Sloane [pdf] | |
| Nihonkai Math. J. Vol. 34 (2023), 19-37. |
| [37] | H. S. Chakraborty, T. Miezaki, M. Oura |
| Harmonic Tutte polynomials of matroids [pdf] | |
| Des. Codes Cryptogr. 91 (2023, June), no. 6, 2223-2236. https://doi.org/10.1007/s10623-023-01196-7 |
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| Jacobi polynomials and design theory I [pdf] | |
| Discrete Math. 346 (2023, June), no. 6, Paper No. 113339. https://doi.org/10.1016/j.disc.2023.113339 |
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| Weight enumerators, intersection enumerators and Jacobi polynomials II [pdf] | |
| Discrete Math. 345 (2022, December), no. 12, Paper No. 113098. https://doi.org/10.1016/j.disc.2022.113098 |
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| Note on the permutation group associated to E-polynomials [pdf] | |
| Journal of Algebra Combinatorics Discrete Structures and Applications, volume 9 issue 1 (2022, January), 1-7. Matrices https://doi.org/10.13069/jacodesmath.1056485 |
| [33] | E. Bannai, M. Oura, D. Zhao, |
| The complex conjugate invariants of Clifford groups [pdf] | |
| Des. Codes Cryptogr. 89 (2021, February), no. 2, 341-350.
https://doi.org/10.1007/s10623-020-00819-7 |
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| Certain subrings in classical invariant theory [pdf] | |
| Toyama Mathematical Journal, 40 (2020), 33-44.
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| Weight enumerator, intersection enumerator and Jacobi polynomial [pdf] | |
| Discrete Math. 343 (2020, June), no. 6, 111815, 12 pp.
https://doi.org/10.1016/j.disc.2020.111815 |
| [30] | T. Miezaki, M. Oura, |
| On Eisenstein polynomials and zeta polynomials II [pdf] | |
| Int. J. Number Theory 16, No. 1, 2020(February), 207-218.
https://doi.org/10.1142/S1793042120500116 |
| [29] | T. Miezaki, M. Oura, T. Sakuma, H. Shinohara |
| A generalization of the Tutte polynomials [pdf] | |
| Proc. Japan Acad. Ser. A Math. Sci. 95 (2019), no. 10, 111-113.
doi:10.3792/pjaa.95.111 |
| [28] | T. Miezaki, M. Oura |
| On the cycle index and the weight enumerator [pdf] | |
| Des. Codes Cryptogr. 87, no. 6, (2019, June), 1237-1242.
https://doi.org/10.1007/s10623-018-0518-x |
| [27] | N. Hamid, M. Oura |
| Terwilliger algebras of some group association schemes | |
| Math. J. Okayama Univ. 61 (2019, January), 199-204. |
| [26] | M. Fujii, M. Oura |
| Ring of the weight enumerators of d_n^+ [pdf] | |
| Tsukuba J. of Math. 42(2018, July), no.1, 53-63.
doi:10.21099/tkbjm/1541559648 |
| [25] | T. Motomura, M. Oura |
| E-polynomials associated to $\mathbf{Z}_4$-codes [pdf] | |
| Hokkaido Math. J. 47(2018), no.2, 339-350.
doi:10.14492/hokmj/1529308822 |
| [24] | M. Kosuda, M. Oura |
| Centralizer algebras of the group associated to ${\Z}_4$-codes [pdf] | |
| Discrete Math. 340 (2017, October), no. 10, 2437-2446.
DOI: 10.1016/j.disc.2017.06.001 |
| [23] | M. Kosuda, M. Oura |
| Centralizer algebras of the primitive unitary reflection group of order 96 [pdf] OEIS | |
| Tokyo J. Math. 39 (2016, December), no. 2, 469-482. |
| [22] | M. Oura, M. Ozeki |
| A numerical study of Siegel theta series of various degrees for the 32-dimensional even unimodular extremal lattices pdf | |
| Kyushu J. Math. 70 (2016, October), no. 2, 281-314. |
| [21] | M. Oura, M. Ozeki |
| Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices | |
| Abh. Math. Semin. Univ. Hambg. 86 (2016, March), no. 1, 19-53. |
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| Eisenstein polynomials associated to binary codes (II) [pdf] | |
| Kochi J. Math. 11 (2016, March), 35-41. |
| [19] | M. Oura, C. Poor, R. Salvati Manni, D. Yuen |
| Modular gorms of weight $8$ for $\Gamma_g(1,2)$ [pdf] | |
| Math.Ann. 346(2010, February), 477-498. | |
| c_0=-3/(2^(15)*7) |
| [18] | M. Oura |
| Eisenstein polynomials associated to binary codes | |
| Int. J. Number Theory 5(2009), no.4, 635-640. [pdf] |
| [17] | M. Oura, R. Salvati Manni |
| On the image of code polynomials under theta map | |
| J. Math. Kyoto Univ. 48-4(2008), 895-906. [pdf] |
| [16] | M. Oura |
| On the integral ring spanned by genus two weight enumerators | |
| Discrete Math. 308(2008), 3722-3725. [pdf] |
| [15] | M. Oura, C. Poor, D. Yuen |
| Towards the Siegel ring in genus four | |
| Int. J. Number Theory 4(2008), no.4, 563-586. [pdf] |
| [14] | Y. Choie, M. Oura |
| The joint weight enumerators and Siegel modular forms | |
| Proc. Amer. Math. Soc. 134 (2006), 2711-2718. [pdf] |
| [13] | S. T. Dougherty, T. A. Gulliver, M. Oura |
| Higher weights for ternary and quaternary self-dual codes | |
| Des. Codes Cryptogr. 38 (2006), no. 1, 97--112. [pdf] |
| [12] | M. Oura |
| Observation on the weight enumerators from classical invariant theory | |
| Comment. Math. Univ. St. Pauli, Vol. 54 (2005), No.1, 1-15. [pdf] |
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| An example of an infinitely generated graded ring motivated by coding theory | |
| Proc. Japan Acad., 79, Ser.A (2003), 134-135. [pdf] |
| [10] | E. Bannai, M. Harada, T. Ibukiyama, A. Munemasa, M. Oura |
| Type II codes over F2 + u F2 and applications to Hermitian modular forms | |
| Abh. Math. Sem. Univ. Hamburg 73 (2003), 13--42. [pdf] |
| [9] | S. T. Dougherty, T. A. Gulliver, M. Oura |
| Higher weights and graded rings for binary self-dual codes | |
| Discrete Appl. Math. 128 (2003), no. 1, 121-143. [pdf] |
| [8] | S. T. Dougherty, M. Harada, M. Oura |
| Note on the g-fold joint enumerators of self-dual codes over Zk | |
| Appl. Algebra Engrg. Comm. Comput. 11(2001) 6, 437-445. [pdf] |
| [7] | E. Freitag, M. Oura |
| A theta relation in genus 4 | |
| Nagoya Math. J. 161(2001), 69-83. [pdf] |
| [6] | M. Oura |
| Codes et formes paramodulaires | |
| C.R.Acad.Sci.Paris., t. 328, Serie I, 843-846, 1999. [pdf] |
| [5] | M. Harada, M. Oura |
| On the Hamming weight enumerators of self-dual codes over Zk | |
| Finite Fields and Their Appl. 5 (1999), 26-34. [pdf] |
| [4] | E. Bannai, S. T. Dougherty, M. Harada, M. Oura |
| Type II codes, even unimodular lattices and invariant rings | |
| IEEE Trans. Inform. Theory, vol 45, No.4(1999), 1194-1205. [pdf] | |
| see Young Ho Park, Modular independence and generator matrices for codes over Zm, Des. Codes Cryptogr. 50(2009), no.2, 147--162. |
| [3] | M. Oura |
| The dimension formula for the ring of code polynomials in genus 4 | |
| Osaka J.Math., 34 (1997), 53-72. [pdf] | |
| in the published version, the coeff of t^(72) in Theorem 4.1 at p.70 is 5845, not 5485. | |
| OEIS |
| [2] | M. Oura |
| Molien series related to certain finite unitary reflection groups | |
| Kyushu J.Math., vol 50, No.2(1996), 297-310. [pdf] |
| [1] | P. Balmaceda, M. Oura, |
| The Terwilliger algebras of the group association schemes of S5 and A5 | |
| Kyushu J.Math. vol 48, No.2(1994), 221-231. [pdf] |