Cyclic Codes from Two-Prime Generalized Cyclotomic Sequences of Order 6
Information Theory
2015-10-06 v1 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.
Cite
@article{arxiv.1510.01022,
title = {Cyclic Codes from Two-Prime Generalized Cyclotomic Sequences of Order 6},
author = {Tongjiang Yan and Yanyan Liu and Yuhua Sun},
journal= {arXiv preprint arXiv:1510.01022},
year = {2015}
}