Jacobi polynomials, invariant rings, and generalized t-designs,
by H. S. Chakraborty, N. Hamid, T. Miezaki, M. Oura
arXiv
accepted for publication in Discrete Mathematics.

[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) 2450235 (24 pages) https://doi.org/10.1142/S0219498824502359

[39]	S. Nagaoka and M. Oura
	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), no. 6, 2223-2236. https://doi.org/10.1007/s10623-023-01196-7

[36]	H. S. Chakraborty, T. Miezaki, M. Oura, and Y. Tanaka
	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

[35]	H. S. Chakraborty, T. Miezaki, M. Oura
	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

[34]	H. Imamura, M. Kosuda, M. Oura
	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

[32]	N. Hamid, M. Kosuda, M. Oura
	Certain subrings in classical invariant theory [pdf]
	Toyama Mathematical Journal, 40 (2020), 33-44.

[31]	K. Honma, T. Okabe, M. Oura
	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.

[20]	M. Oura
	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]

[11]	M. Oura
	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]