On extremal double circulant self-dual codes of lengths $90$ and $92$

T. Aaron Gulliver, Masaaki Harada

Published 2016-01-27Version 1

A classification of extremal double circulant self-dual codes of lengths up to $88$ is known. We demonstrate that there is no extremal double circulant self-dual code of length $90$. We give a classification of double circulant self-dual $[90,45,14]$ codes. In addition, we demonstrate that every double circulant self-dual $[90,45,14]$ code has no extremal self-dual neighbor of length $90$. Finally, we give a classification of extremal double circulant self-dual codes of length $92$.