Abstract | ||
---|---|---|
Symbol-pair codes are block codes when considering the pair-metric, and are designed to protect against pair-errors occur in the pair-read vector which consisting of overlapping pairs of symbols. A code that achieves the analog of Singleton bound for symbol-pair codes is called a maximum distance separable (MDS) symbol-pair code. The contribution of this letter is twofold. First, we give a lower bound of minimum pair-distance of repeated-root constacyclic codes in terms of minimum Hamming distance, which extends the lower bound given by Chen, Lin and Liu. Second, we give three new classes of MDS symbol-pair codes. As we know, for an MDS symbol-pair code with a fixed minimum pair-distance, the larger the code length of the code has, the higher the code rate is. The first class of MDS symbol-pair codes we show has unbounded code length and the other two classes of MDS symbol-pair codes have larger code lengths than the code lengths of existing MDS symbol-pair codes under the same minimum pair-distance 6. |
Year | DOI | Venue |
---|---|---|
2021 | 10.1109/LCOMM.2020.3041271 | IEEE Communications Letters |
Keywords | DocType | Volume |
Symbol-pair read channels,constacyclic codes,MDS symbol-pair codes,minimum pair-distance | Journal | 25 |
Issue | ISSN | Citations |
8 | 1089-7798 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Wei Zhao | 1 | 0 | 0.34 |
Shenghao Yang | 2 | 33 | 13.84 |
Kenneth W. Shum | 3 | 0 | 0.34 |
Xilin Tang | 4 | 0 | 0.34 |