QUASI-TWISTED CODES AS CONTRACTIONS OF QUASI-CYCLIC CODES

ADVANCES IN MATHEMATICS OF COMMUNICATIONS（2024）

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摘要

We consider the quasi-twisted codes as contractions of quasi-cyclic codes and construct a family of q-ary quasi-cyclic codes whose codewords have r-divisible weights, where r | q - 1. We show that any quasi-cyclic code of co-index divisible by r is a direct sum of r-divisible quasi-cyclic codes.

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关键词

Quasi-cyclic codes,quasi-twisted codes,minimum distance bounds,contraction

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