On an Assmus–Mattson type theorem for type I and even formally self‐dual codes

Author:

Miezaki Tsuyoshi1,Nakasora Hiroyuki2

Affiliation:

1. Faculty of Science and Engineering Waseda University Tokyo Japan

2. Institute for Promotion of Higher Education Kobe Gakuin University Kobe Japan

Abstract

AbstractIn the present paper, we give an 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‐ design.

Funder

Japan Society for the Promotion of Science

Publisher

Wiley

Subject

Discrete Mathematics and Combinatorics

Reference31 articles.

1. New 5-designs

2. Toy models for D. H. Lehmer's conjecture

3. Toy Models for D. H. Lehmer’s Conjecture II

4. E.Bannai T.Miezaki andH.Nakasora A note on the Assmus–Mattson theorem for some binary codes II to appear in Des. Codes Cryptogr.

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