1. Construction of Isodual Quasi-cyclic Codes over Finite Fields
- Author
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Benahmed, Fatma-Zahra, Guenda, Kenza, Batoul, Aicha, and Gulliver, T. Aaron
- Subjects
FOS: Computer and information sciences ,Physics::General Physics ,Mathematics::K-Theory and Homology ,Information Theory (cs.IT) ,Computer Science - Information Theory - 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., arXiv admin note: substantial text overlap with arXiv:1607.07798
- Published
- 2019