Cyclotomic Constructions of Cyclic Codes With Length Being the Product of Two Primes

@article{Ding2012CyclotomicCO,
  title={Cyclotomic Constructions of Cyclic Codes With Length Being the Product of Two Primes},
  author={Cunsheng Ding},
  journal={IEEE Transactions on Information Theory},
  year={2012},
  volume={58},
  pages={2231-2236}
}
Cyclic codes are an interesting type of linear codes and have applications in communication and storage systems due to their efficient encoding and decoding algorithms. In this paper, three types of generalized cyclotomy of order two are described and three classes of cyclic codes of length n<sub>1</sub> n<sub>2</sub> and dimension (n<sub>1</sub> n<sub>2</sub> + 1)/2 are presented and analyzed, where n<sub>1</sub> and n<sub>2</sub> are two distinct primes. Bounds on their minimum odd-like… CONTINUE READING
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