Construction of Isodual Quasi-cyclic Codes over Finite Fields

Fatma-Zahra Benahmed; Kenza Guenda; Aicha Batoul; T. Aaron Gulliver

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arXiv · 1903.04911

Construction of Isodual Quasi-cyclic Codes over Finite Fields

Fatma-Zahra Benahmed·Kenza Guenda·Aicha Batoul·T. Aaron Gulliver

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Abstract

This paper considers the construction of isodual quasi-cyclic codes. First we prove that two quasi-cyclic codes are permutation equivalent if and only if their constituent codes are equivalent. This gives conditions on the existence of isodual quasi-cyclic codes. Then these conditions are used to obtain isodual quasi-cyclic codes. We also provide a construction for isodual quasi-cyclic codes as the matrix product of isodual codes.

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Fatma-Zahra Benahmed, Kenza Guenda, Aicha Batoul, T. Aaron Gulliver. 2019-03-09. Construction of Isodual Quasi-cyclic Codes over Finite Fields. https://arxiv.org/abs/1903.04911

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