2000 character limit reached
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
Published 23 Jun 2021 in math.CO, cs.IT, and math.IT | (2106.12355v1)
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
