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Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Analele Universitatii "Ovidius" Constanta - Seria Matematica ( IF 0.8 ) Pub Date : 2020-07-01 , DOI: 10.2478/auom-2020-0020
C. A. Castillo-Guillén 1 , C. Rentería-Márquez 2
Affiliation  

Abstract The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given. And the number and structure of γ-constacyclic codes over those rings, of length relatively prime to the characteristic of the residue field of the ring, are determined.

中文翻译:

长度为 5 且幂零指数为 4 的有限局部 Frobenius 非链环上的恒循环码

摘要 确定了长度为 5 且幂零指数为 4 的有限局部 Frobenius 非链环族,作为副产品,给出了所有具有 p5 元素(pa 素数)和幂零指数为 4 的有限局部 Frobenius 非链环。并且确定那些环上的γ-恒环码的数量和结构,其长度与环的剩余域的特征相对素数。
更新日期:2020-07-01
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