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

Tongjiang Yan; Yanyan Liu; Yuhua Sun

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arXiv · 1510.01022

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

Tongjiang Yan·Yanyan Liu·Yuhua Sun

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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.

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Tongjiang Yan, Yanyan Liu, Yuhua Sun. 2015-10-05. Cyclic Codes from Two-Prime Generalized Cyclotomic Sequences of Order 6. https://arxiv.org/abs/1510.01022

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