Weight distributions of all irreducible μ-constacyclic codes of length ℓ^n

06/27/2018

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by   Manjit Singh, et al.

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Let F_q be a finite field of order q and integer n> 1. Let ℓ be a prime such that ℓ^k|(q-1) for some integer k> 1 and μ be an element of order ℓ^k in F_q. In this paper, we determine the weight distributions of all irreducible μ-constacyclic codes of length ℓ^n over F_q. Explicit expressions for the generator polynomials and codewords of these codes are also obtained.