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A Generalization of Cyclic Code Equivalence Algorithm to Constacyclic Codes

2021/08/19 by Dev Akre, Nuh Aydın, Akre, Dev +5 · 1 citation
Computer Science · #Coding theory and cryptography #Cryptographic Implementations and Security #Quantum-Dot Cellular Automata

paper · pdf · doi:10.48550/arxiv.2108.08619

Abstract

Recently, a new algorithm to test equivalence of two cyclic codes has been introduced which is efficient and produced useful results. In this work, we generalize this algorithm to constacyclic codes. As an application of the algorithm we found many constacyclic codes with good parameters and properties. In particular, we found 23 new codes that improve the minimum distances of BKLCs.

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