Author:
Allen Austin,Blackwell Keller,Fiol Olivia,Kshirsagar Rutuja,Matsick Bethany,Matthews Gretchen L.,Nelson Zoe
Abstract
We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed–Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-dimensional Schur squares, and we identify a subfamily of twisted Hermitian codes that achieves a Schur square dimension close to that of a random linear code. Twisted Hermitian codes allow one to work over smaller alphabets than those based on Reed–Solomon codes of similar lengths.
Funder
National Science Foundation
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Cited by
1 articles.
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1. Twisted Reed–Solomon Codes;IEEE Transactions on Information Theory;2022-05