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Weight enumerator of some irreducible cyclic codes

Published 28 Apr 2014 in cs.IT, math.IT, and math.NT | (1404.6851v2)

Abstract: In this article, we show explicitly all possible weight enumerators for every irreducible cyclic code of length $n$ over a finite field $\mathbb F_q$, in the case which each prime divisor of $n$ is also a divisor of $q-1$.

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