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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2021
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sg-ntu-dr.10356-1545172021-12-25T07:46:48Z Quasi-cyclic codes Güneri, Cem Ling, San Özkaya, Buket W. C. Huffman J.-L. Kim P. Solé School of Physical and Mathematical Sciences Engineering::Computer science and engineering::Information systems Engineering::Computer science and engineering::Theory of computation Algebraic Codes 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 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. 2021-12-25T07:46:48Z 2021-12-25T07:46:48Z 2021 Book Chapter Güneri, C., Ling, S. & Özkaya, B. (2021). Quasi-cyclic codes. W. C. Huffman, J.-L. Kim & P. Solé (Eds.), Concise Encyclopedia of Coding Theory (pp. 129-150). CRC Press, Taylor & Francis Group. 9781138551992 https://hdl.handle.net/10356/154517 129 150 en Concise Encyclopedia of Coding Theory © 2021 Taylor & Francis Group, LLC. All rights reserved. CRC Press, Taylor & Francis Group |
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Engineering::Computer science and engineering::Information systems Engineering::Computer science and engineering::Theory of computation Algebraic Codes Cyclic Codes |
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Engineering::Computer science and engineering::Information systems Engineering::Computer science and engineering::Theory of computation Algebraic Codes Cyclic Codes Güneri, Cem Ling, San Özkaya, Buket Quasi-cyclic codes |
| description |
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. |
| author2 |
W. C. Huffman |
| author_facet |
W. C. Huffman Güneri, Cem Ling, San Özkaya, Buket |
| format |
Book Chapter |
| author |
Güneri, Cem Ling, San Özkaya, Buket |
| author_sort |
Güneri, Cem |
| title |
Quasi-cyclic codes |
| title_short |
Quasi-cyclic codes |
| title_full |
Quasi-cyclic codes |
| title_fullStr |
Quasi-cyclic codes |
| title_full_unstemmed |
Quasi-cyclic codes |
| title_sort |
quasi-cyclic codes |
| publisher |
CRC Press, Taylor & Francis Group |
| publishDate |
2021 |
| url |
https://hdl.handle.net/10356/154517 |
| _version_ |
1720447108660592640 |