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• W2768981187 abstract "Let R be the Galois ring GR(pk,s) of characteristic pk and cardinality psk. Firstly, we give all primitive idempotent generators of irreducible cyclic codes of length n over R, and a p-adic integer ring with gcd(p,n)=1. Secondly, we obtain all primitive idempotents of all irreducible cyclic codes of length rlm over R, where r,l, and t are three primes with 2∤l, r|(qt−1), lv∥(qt−1) and gcd(rl,q(q−1))=1. Finally, as applications, weight distributions of all irreducible cyclic codes for t=2 and generator polynomials of self-dual cyclic codes of length lm and rlm over R are given." @default.
• W2768981187 created "2017-12-04" @default.
• W2768981187 creator A5040712173 @default.
• W2768981187 creator A5087950344 @default.
• W2768981187 date "2018-06-01" @default.
• W2768981187 modified "2023-10-03" @default.
• W2768981187 title "Primitive idempotents of irreducible cyclic codes and self-dual cyclic codes over Galois rings" @default.
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• W2768981187 doi "https://doi.org/10.1016/j.disc.2017.10.027" @default.
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