New binary self-dual codes of lengths 80, 84 and 96 from composite matrices

Abstract

In this work, we apply the idea of composite matrices arising from group rings to derive a number of different techniques for constructing self-dual codes over finite commutative Frobenius rings. By applying these techniques over different alphabets, we construct best known singly-even binary self-dual codes of lengths 80, 84 and 96 as well as doubly-even binary self-dual codes of length 96 that were not known in the literature before.

arXiv admin note: text overlap with arXiv:2102.10354

References in corpus (3)

• New extremal binary self-dual codes from a modified four circulant construction
• Extension theorems for self-dual codes over rings and new binary self-dual codes
• New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction