5 papers
Weight Distribution of Repeated-Root Cyclic Codes with Prime Power Lengths
Wei Zhao, Weixian Li, Shenghao Yang +2
Determining the weight distribution of a linear code is a classical and fundamental topic in coding theory that has been extensively investigated. Repeated-root cyclic codes, which…
A Characterization of MDS Symbol-pair Codes over Two Types of Alphabets
Xilin Tang, Weixian Li, Wei Zhao
Symbol-pair codes are block codes with symbol-pair metrics designed to protect against pair-errors that may occur in high-density data storage systems. MDS symbol-pair codes are op…
Repeated-root Constacyclic Codes with Optimal Locality
Wei Zhao, Kenneth W. Shum, Shenghao Yang
A code is called a locally repairable code (LRC) if any code symbol is a function of a small fraction of other code symbols. When a locally repairable code is employed in a distrib…
All -constacyclic codes of length over
Wei Zhao, Xilin Tang, Ze Gu
Let be a finite field with cardinality and with . We aim to determine all -constacyclic codes…
The 2-adic valuations of Stirling numbers of the second kind
Shaofang Hong, Jianrong Zhao, Wei Zhao
In this paper, we investigate the 2-adic valuations of the Stirling numbers of the second kind. We show that if and only if $i\not\equiv 7…