4 papers · 1 filter
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…