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Structure and Performance of Generalized Quasi-Cyclic Codes by Güneri, Cem; Özbudak, Ferruh; Özkaya, Buket; Saçıkara, Elif; Sepasdar, Zahra; Solé, Patrick is a scholarly article available to read on EtoBox.

What is Structure and Performance of Generalized Quasi-Cyclic Codes about?

Generalized quasi-cyclic (GQC) codes form a natural generalization of quasi-cyclic (QC) codes. They are viewed here as mixed alphabet codes over a family of ring alphabets. Decomposing these rings into local rings by the Chinese Remainder Theorem yields a decomposition of GQC codes into a sum of concatenated codes. This decomposition leads to a trace formula, a minimum distance bound, and to a criteria for the GQC code to be self-dual or to be linear complementary dual (LCD). Explicit long GQC codes that are LCD, but not QC, are exhibited.

Author

Güneri, Cem; Özbudak, Ferruh; Özkaya, Buket; Saçıkara, Elif; Sepasdar, Zahra; Solé, Patrick

Published

2017

Language

EN