86 citations · 421 across the 84 of their papers we have counts for
6 papers · 1 filter
Butson Hadamard matrices, bent sequences, and spherical codes
Minjia Shi, Danni Lu, Andrés Armario +3
We explore a notion of bent sequence attached to the data consisting of an Hadamard matrix of order defined over the complex roots of unity, an eigenvalue of that matr…
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…
A new method for solving the equation in where
Liqin Qian, Minjia Shi, Wei Lu
In this paper, we give a new method answer to a recent conjecture proposed by Budaghyan, Calderini, Carlet, Davidova and Kaleyski about the equation in $\mathbb{F}_…
Characterization of Plotkin-optimal two-weight codes over finite chain rings and related applications
Shitao Li, Minjia Shi
Few-weight codes over finite chain rings are associated with combinatorial objects such as strongly regular graphs (SRGs), strongly walk-regular graphs (SWRGs) and finite geometrie…
Quasi-cyclic perfect codes in Doob graphs and special partitions of Galois rings
Minjia Shi, Xiaoxiao Li, Denis S. Krotov +1
The Galois ring GR is the residue ring , where is a basic primitive polynomial of degree over . For any odd larger than , we construct…
Binary self-orthogonal codes which meet the Griesmer bound or have optimal minimum distances
Minjia Shi, Shitao Li, Tor Helleseth +1
The purpose of this paper is two-fold. First, we characterize the existence of binary self-orthogonal codes meeting the Griesmer bound by employing Solomon-Stiffler codes and some…