86 citations · 421 across the 84 of their papers we have counts for
11 papers · 1 filter
Construction of isodual codes from polycirculant matrices
Minjia Shi, Li Xu, Patrick Sole
Double polycirculant codes are introduced here as a generalization of double circulant codes. When the matrix of the polyshift is a companion matrix of a trinomial, we show that su…
A new approach to the Kasami codes of type 2
Minjia Shi, Denis Krotov, Patrick Solé
The dual of the Kasami code of length , with a power of , is constructed by concatenating a cyclic MDS code of length over with a Simplex code of length $…
On -additive codes and their duality
Minjia Shi, Rongsheng Wu, Denis S. Krotov
In this paper, two different Gray-like maps from , where is prime, to , , denoted by and , respectively, are presented. We…
How many weights can a cyclic code have ?
Minjia Shi, Xiaoxiao Li, Alessandro Neri +1
Upper and lower bounds on the largest number of weights in a cyclic code of given length, dimension and alphabet are given. An application to irreducible cyclic codes is considered…
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…
A new distance-regular graph of diameter 3 on 1024 vertices
Minjia Shi, Denis Krotov, Patrick Solé
The dodecacode is a nonlinear additive quaternary code of length . By puncturing it at any of the twelve coordinates, we obtain a uniformly packed code of distance . In part…
Additive perfect codes in Doob graphs
Minjia Shi, Daitao Huang, Denis S. Krotov
The Doob graph is the Cartesian product of copies of the Shrikhande graph and copies of the complete graph of order . Naturally, can be represented a…
The number of the non-full-rank Steiner triple systems
Minjia Shi, Li Xu, Denis S. Krotov
The -rank of a Steiner triple system is the dimension of the linear span of the set of characteristic vectors of blocks of , over GF. We derive a formula for the num…
Linear codes with few weights over
Minjia Shi, Liqin Qian, Patrick Sole
In this paper, we construct an infinite family of five-weight codes from trace codes over the ring , where The trace codes have the algebraic…
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…
Double circulant self-dual and LCD codes over Galois rings
Minjia Shi, Daitao Huang, Lin Sok +1
This paper investigates the existence, enumeration and asymptotic performance of self-dual and LCD double circulant codes over Galois rings of characteristic and order …