On the Assmus--Mattson type theorem for Type I and even formally self-dual codes

Autor:	Miezaki, Tsuyoshi, Nakasora, Hiroyuki
Rok vydání:	2022
Předmět:	Mathematics - Combinatorics Computer Science - Information Theory Mathematics - Group Theory Primary 05B05 Secondary 94B05
Druh dokumentu:	Working Paper
Popis:	In the present paper, we give the Assmus--Mattson type theorem for near-extremal Type I and even formally self-dual codes. We show the existence of $1$-designs or $2$-designs for these codes. As a corollary, we prove the uniqueness of a self-orthogonal $2$-$(16,6,8)$ design. Comment: 9 pages. arXiv admin note: text overlap with arXiv:2004.03396, arXiv:1805.10019
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.08617 Zobrazit plný text záznamu View this record from Arxiv