6 papers
The covering radius of Butson Hadamard codes for the homogeneous metric
Xingxing Xu, Minjia Shi, Patrick Sole
Butson matrices are complex Hadamard matrices with entries in the complex roots of unity of given order. There is an interesting code in phase space related to this matrix (Armario…
The log concavity of two graphical sequences
Minjia Shi, Lu Wang, Patrick Sole
We show that the large Cartesian powers of any graph have log-concave valencies with respect to a ffxed vertex. We show that the series of valencies of distance regular graphs is l…
Triorthogonal Codes and Self-dual Codes
Minjia Shi, Haodong Lu, Jon-Lark Kim +1
Triorthogonal matrices were introduced in Quantum Information Theory in connection with distillation of magic states (Bravyi and Haah (2012)). We give an algorithm to construct bin…
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…
A quaternary analogue of Tang-Ding codes
Minjia Shi, Sihui Tao, Jon-Lark Kim +1
In a recent paper, Tang and Ding introduced a class of binary cyclic codes of rate close to one half with a designed lower bound on their minimum distance. The definition involves…
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…