Title
Repeated-Root Constacyclic Codes With Pair-Metric
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 Zhao100.34
Shenghao Yang23313.84
Kenneth W. Shum300.34
Xilin Tang400.34