Weight distributions of generalized quasi-cyclic codes over Fq+uFq

FINITE FIELDS AND THEIR APPLICATIONS（2023）

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摘要

In this paper, by Gauss sums, we determine Hamming weight distributions of generalized quasi-cyclic (GQC) codes over the finite chain ring Fq+uFq, where u2=0. As applications, some new infinite families of minimal linear codes with WminWmax≤q−1q and projective two-weight codes are constructed.

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关键词

<mmlmath xmlnsmml=http//wwww3org/1998/math/mathml,quasi-cyclic,double-struck

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