86 citations · 421 across the 84 of their papers we have counts for
13 papers · 1 filter
Two-weight codes from trace codes over
Minjia Shi, Yue Guan
We construct a family of two-Lee-weight codes over the ring which is defined as trace codes with algebraic structure of abelian codes. The Lee weight distribution of the two…
New few weight codes from trace codes over a local Ring
Shi Minjia, Qian Liqin, Sole Patrick
In this paper, new few weights linear codes over the local ring with are constructed by using the t…
Some ternary cubic two-weight codes
Minjia Shi, Daitao Huang, Patrick Sole
We study trace codes with defining set a subgroup of the multiplicative group of an extension of degree of the alphabet ring $\mathbb{F}_3+u\mathbb{F}_3+u^{2}\mathbb{F}_{3…
Two new families of two-weight codes
Minjia Shi, Yue Guan, Patrick Sole
We construct two new infinite families of trace codes of dimension , over the ring when is an odd prime. They have the algebraic structure of…
New Classes of -ary Few Weights Codes
Minjia Shi, Rongsheng Wu, Liqin Qian +2
In this paper, several classes of three-weight codes and two-weight codes for the homogeneous metric over the chain ring $R=\mathbb{F}_p+u\mathbb{F}_p+\cdots +u^{k-1}\mathbb{F}_{p}…
Trace Codes with Few Weights over
Minjia Shi, Yan Liu, Patrick Solé
We construct an infinite family of two-Lee-weight and three-Lee-weight codes over the chain ring They have the algebraic structure of abelian codes. T…
Three-weight codes and the quintic construction
Yan Liu, Minjia Shi, Patrick Solé
We construct a class of three-Lee-weight and two infinite families of five-Lee-weight codes over the ring $R=\mathbb{F}_2 +v\mathbb{F}_2 +v^2\mathbb{F}_2 +v^3\mathbb{F}_2 +v^4\math…
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…
Two-weight and three-weight codes from trace codes over
Yan Liu, Minjia Shi, Patrick Solé
We construct an infinite family of two-Lee-weight and three-Lee-weight codes over the non-chain ring where $u^2=0,v^2=0,u…
Decomposition of bent generalized Boolean functions
Lin Sok, MinJia Shi, Patrick Solé
A one to one correspondence between regular generalized bent functions from $\F_2^n$ to and tuples of Boolean bent functions is established. This correspondence map…
Construction of MDS self-dual codes from orthogonal matrices
Minjia Shi, Lin Sok, Patrick Solé
In this paper, we give algorithms and methods of construction of self-dual codes over finite fields using orthogonal matrices. Randomization in the orthogonal group, and code exten…
On constacyclic codes over and their Gray images
Minjia Shi, Liqing Qian, Lin Sok +2
We first define a new Gray map from to , where and study -constacyclic codes over . Also of interest are some…
Good Self-dual Generalized Quasi-Cyclic Codes Exist
MinJia Shi, Yan Liu, Patrick Solé
We show that there are good long binary generalized quasi-cyclic self-dual (either Type I or Type II) codes.