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arxiv: 1510.01022 · v1 · pith:FBZTTYEGnew · submitted 2015-10-05 · 💻 cs.IT · math.IT

Cyclic Codes from Two-Prime Generalized Cyclotomic Sequences of Order 6

classification 💻 cs.IT math.IT
keywords codescycliccyclotomicdistancegeneralizedgiveminimumorder
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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.

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