19 citations · 42 across the 10 of their papers we have counts for
10 papers · 1 filter
Some bounds on the cardinality of the -symbol weight spectrum of codes
Hongwei Zhu, Shitao Li, Minjia Shi +2
The size of the Hamming distance spectrum of a code has received great attention in recent research. The main objective of this paper is to extend these significant theories to the…
Cyclic codes from low differentially uniform functions
Sihem Mesnager, Minjia Shi, Hongwei Zhu
Cyclic codes have many applications in consumer electronics, communication and data storage systems due to their efficient encoding and decoding algorithms. An efficient approach t…
The b-symbol weight distribution of irreducible cyclic codes and related consequences
Hongwei Zhu, Minjia Shi
The -symbol read channel is motivated by the limitations of the reading process in high density data storage systems. The corresponding new metric is a generalization of the Ham…
The b-symbol weight hierarchy of the Kasami codes
Hongwei Zhu, Minjia Shi
The symbol-pair read channel was first proposed by Cassuto and Blaum. Later, Yaakobi et al. generalized it to the -symbol read channel. It is motivated by the limitations of the…
Complete b-symbol weight distribution of some irreducible cyclic codes
Hongwei Zhu, Minjia Shi, Ferruh Ozbudak
Recently, -symbol codes are proposed to protect against -symbol errors in -symbol read channels. It is an interesting subject of study to consider the complete -symbol…
The -ary antiprimitive BCH codes
Hongwei Zhu, Minjia Shi, Xiaoqiang Wang +1
It is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of thi…
On self-dual and LCD double circulant and double negacirculant codes over
Minjia Shi, Hongwei Zhu, Liqin Qian +2
Double circulant codes of length over the semilocal ring are studied when is an odd prime power, and is a square in $\mat…
How many weights can a linear code have ?
Minjia Shi, Hongwei Zhu, Patrick Solé +1
We study the combinatorial function the maximum number of nonzero weights a linear code of dimension over $\F_q$ can have. We determine it completely for and f…
On self-dual four circulant codes
Minjia Shi, Hongwei Zhu, Patrick Sole
Four circulant codes form a special class of -generator, index , quasi-cyclic codes. Under some conditions on their generator matrices they can be shown to be self-dual. Arti…
Optimal three-weight cubic codes
Minjia Shi, Hongwei Zhu, Patrick Solé
In this paper, we construct an infinite family of three-weight binary codes from linear codes over the ring , where These cod…