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Cyclic Codes from Two-Prime Generalized Cyclotomic Sequences of Order 6 (1510.01022v1)
Published 5 Oct 2015 in cs.IT and math.IT
Abstract: Cyclic codes have wide applications in data storage systems and communication systems. Employing two-prime Whiteman generalized cyclotomic sequences of order 6, we construct several classes of cyclic codes over the finite field GF}(q) and give their generator polynomials. And we also calculate the minimum distance of some cyclic codes and give lower bounds of the minimum distance for some other cyclic codes.