Binary self-dual codes of length 24

1974/11/01 by Vera Pless, N. J. A. Sloane · 1 citation
Computer Science · Mathematics · Engineering · #Coding theory and cryptography #Finite Group Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.1090/s0002-9904-1974-13662-1

Abstract

There are 26 distinct indecomposable self-dual codes of length 24 over GF(2), including unique codes of minimum weights 8 and 6, whose groups are, respectively, the Mathieu group M 2 4 and the maximal subgroup of index 1771 in M^> For each code we give the order of its group, the number of equivalent codes, and its weight distribution.

Cited by

• Formes automorphes et voisins de Kneser des réseaux de Niemeier

Related

• On the Existence of Certain Optimal Self-Dual Codes with Lengths Between 74 and 116
• A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes
• New Self-Dual Codes of length 68 from a 2 by 2 block matrix Construction and Group Rings
• Self-dual codes over GF(q) with symmetric generator matrices
• An improved upper bound on self-dual codes over finite fields GF(11), GF(19), and GF(23)