COMPLETE WEIGHT ENUMERATOR OF TORSION CODES

ADVANCES IN MATHEMATICS OF COMMUNICATIONS（2022）

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摘要

In this paper, we introduce two classes of MacDonald codes over the finite non-chain ring Fp + vFp + v2Fp and their torsion codes which are linear codes over Fp, where p is an odd prime and v3 = 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.

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关键词

Complete weight enumerator, Torsion codes, authentication codes

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