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Complete weight enumerator of torsion codes
2019
Advances in Mathematics of Communications
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In this paper, we introduce two classes of MacDonald codes over the finite non-chain ring Fp + vFp + v 2 Fp and their torsion codes which are linear codes over Fp, where p is an odd prime and v 3 = v. We give the complete weight enumerator of two classes of torsion codes. As an application, systematic authentication codes are obtained by these torsion codes. 2020 Mathematics Subject Classification: Primary: 94B05, 94B15; Secondary: 11T71.
doi:10.3934/amc.2020124
fatcat:so6snqsyo5g6xjn3z5d6l2iiay