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所属单位：理学院

发表刊物：Lect. Notes Comput. Sci.

摘要：Cyclic codes are a meaningful class of linearcodes due to their effective encoding and decoding algorithms. As a subclass of cyclic codes, Bose-Ray-Chaudhuri-Hocquenghem (BCH) codes have good error-correcting capability and are widely used in communication systems. As far as the design of cyclic codes is concerned, it is difficult to determine the minimum distance. It is well known that the minimum distance of a cyclic code of designed distance d is at least d. In this paper, by adjusting the generator polynomial slightly and using a concatenation technique, we present a method to enlarge the designed distance of cyclic codes and obtain two classes of [ pq, q- 1, 2 p] cyclic codes and [ pq, p- 1, 2 q] cyclic codes over GF(2). As a consequence, a class of infinite optimal [3p, 2, 2p] cyclic codes, where p≡-1(mod8), with respect to the Plotkin bound over GF(2) is presented. © Springer International Publishing AG, part of Springer Nature 2018.

ISSN号：0302-9743

是否译文：否

发表时间：2018-01-01

合写作者：Xu, Shanding,Tang, Chunming

通讯作者：曹喜望,Tang, Chunming,曹喜望