A Note on Hamming distance of constacyclic codes of length $p^s$ over $\mathbb F_{p^m} + u\mathbb F_{p^m}$
نویسندگان
چکیده
For any prime p, λ-constacyclic codes of length p over R = Fpm + uFpm are precisely the ideals of the local ring Rλ = R[x] 〈xp−λ〉 , where u = 0. In this paper, we first investigate the Hamming distances of cyclic codes of length p over R. The minimum Hamming distances of all cyclic codes of length p over R are determined. Moreover, an isometry between cyclic and α-constacyclic codes of length p over R is established, where α is nonzero elements of Fpm , which carries over the results regarding cyclic codes corresponding to α-constacyclic codes of length p over R.
منابع مشابه
A note on complete classification of $(\delta+\alpha u^2)$-constacyclic codes of length $p^k$ over $\F_{p^m}+u\F_{p^m}+u^2\F_{p^m}$
For units δ and α in Fpm, the structure of (δ + αu 2)-constacyclic codes of length p over Fpm + uFpm + u 2 Fpm is studied and self-dual (δ + αu 2)constacyclic codes are analyzed.
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