Weight distribution of double cyclic codes over Fq+uFq

Finite Fields and Their Applications（2024）

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摘要

In this paper, we determine the Hamming weight distribution of several classes of double cyclic codes over the finite non-chain ring Fq+uFq with u2=u, which is isomorphic to Fq×Fq. Some two-weight and three-weight linear codes over the finite field Fq are constructed by double cyclic codes over this ring.

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关键词

Double cyclic codes,Weight distribution,Gauss sums,Two-weight codes,Three-weight codes

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