Quasi-Cyclic Codes

Cem Güneri; San Ling; Buket Özkaya

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arXiv · 2007.16029

Quasi-Cyclic Codes

Cem Güneri·San Ling·Buket Özkaya

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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.

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Cem Güneri, San Ling, Buket Özkaya. 2020-07-30. Quasi-Cyclic Codes. https://arxiv.org/abs/2007.16029

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