Quasi-Cyclic Codes
Information Theory
2020-12-10 v2 math.IT
Abstract
Quasi-cyclic codes form an important class of algebraic codes that includes cyclic codes as a special subclass. This chapter focuses on the algebraic structure of quasi-cyclic codes, first. Based on these structural properties, some asymptotic results, a few minimum distance bounds and further applications such as the trace representation and characterization of certain subfamilies of quasi-cyclic codes are elaborated. This survey will appear as a chapter in "A Concise Encyclopedia of Coding Theory" to be published by CRC Press.
Cite
@article{arxiv.2007.16029,
title = {Quasi-Cyclic Codes},
author = {Cem Güneri and San Ling and Buket Özkaya},
journal= {arXiv preprint arXiv:2007.16029},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1906.04967