Cyclic codes from the second class two-prime Whiteman's generalized cyclotomic sequence with order 6

preprint2015arXivOpen access

Abstract

Let n1=ef+1n_1=ef+1 and n2=ef′+1n_2=ef'+1 be two distinct odd primes with positive integers e, f, f′.e,\ f,\ f'. In this paper, the two-prime Whiteman's generalized cyclotomic sequence of order e=6e=6 is employed to construct several classes of cyclic codes over GF(q)\mathrm{GF}(q) with length n1n2n_1n_2. The lower bounds on the minimum distance of these cyclic codes are obtained.

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