Ring of the weight enumerators of $d_n^+$

Makoto Fujii; Manabu Oura

doi:10.21099/tkbjm/1541559648

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Home > Journals > Tsukuba J. Math. > Volume 42 > Issue 1 > Article

July 2018 Ring of the weight enumerators of $d_n^+$

Makoto Fujii, Manabu Oura

Tsukuba J. Math. 42(1): 53-63 (July 2018). DOI: 10.21099/tkbjm/1541559648

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Abstract

We show that the ring of the weight enumerators of a self-dual doubly even code $d_n^+$ in arbitrary genus is finitely generated. Indeed enough elements to generate it are given. The latter result is applied to obtain a minimal set of generators of the ring in genus two.

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Makoto Fujii. Manabu Oura. "Ring of the weight enumerators of $d_n^+$." Tsukuba J. Math. 42 (1) 53 - 63, July 2018. https://doi.org/10.21099/tkbjm/1541559648