Quasi-cyclic codes

Quasi-cyclic codes

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 ap...

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Bibliographic Details
Main Authors: Güneri, Cem, Ling, San, Özkaya, Buket
Other Authors: W. C. Huffman
Format: Book Chapter
Language:English
Published: CRC Press, Taylor & Francis Group 2021
Subjects:
Engineering::Computer science and engineering::Information systems
Engineering::Computer science and engineering::Theory of computation
Algebraic Codes
Cyclic Codes
Online Access:https://hdl.handle.net/10356/154517
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.

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