86 citations · 421 across the 84 of their papers we have counts for
18 papers · 1 filter
A family of diameter perfect constant-weight codes from Steiner systems
Minjia Shi, Yuhong Xia, Denis S. Krotov
If is a transitive metric space, then for any distance- code and a set , ``anticode'', of diameter less than . For every Steiner S s…
Optimal quaternary linear codes with one-dimensional Hermitian hull and the related EAQECCs
Shitao Li, Minjia Shi, Huizhou Liu
Linear codes with small hulls over finite fields have been extensively studied due to their practical applications in computational complexity and information protection. In this p…
A tight upper bound on the number of non-zero weights of a quasi-cyclic code
Xiaoxiao Li, Minjia Shi, San Ling
Let be a quasi-cyclic code of index . Let be the subgroup of the automorphism group of generated by and the scalar multiplications…
Characterization and construction of optimal binary linear codes with one-dimensional hull
Shitao Li, Minjia Shi, Jon-Lark Kim
The hull of a linear code over finite fields is the intersection of the code and its dual, and linear codes with small hulls have applications in computational complexity and infor…
Constructing MRD codes by switching
Minjia Shi, Denis S. Krotov, Ferruh Özbudak
MRD codes are maximum codes in the rank-distance metric space on -by- matrices over the finite field of order . They are diameter perfect and have the cardinality $q^{m(n-…
Cyclic codes from low differentially uniform functions
Sihem Mesnager, Minjia Shi, Hongwei Zhu
Cyclic codes have many applications in consumer electronics, communication and data storage systems due to their efficient encoding and decoding algorithms. An efficient approach t…
Two conjectures on the largest minimum distances of binary self-orthogonal codes with dimension 5
Minjia Shi, Shitao Li, Jon-Lark Kim
The purpose of this paper is to solve the two conjectures on the largest minimum distance of a binary self-orthogonal code proposed by Kim and Choi (IEEE Tran…
Several classes of Galois self-orthogonal MDS codes and related applications
Yang Li, Yunfei Su, Shixin Zhu +2
Let be a prime power and be an integer with . -Galois self-orthogonal codes are generalizations of Euclidean self-orthogonal codes () and Hermi…
Rank and pairs of Rank and Dimension of Kernel of -linear codes
Xiaoxiao Li, Minjia Shi, Shukai Wang
A code is called -linear if it is the Gray image of a -additive code. For any prime number larger than , the…
-additive cyclic codes: kernel and rank
Xuan Wang, Minjia Shi
A code is called -linear if it's the Gray image of the -additive code . In this pape…
Gray Images of Cyclic Codes over and $\mathbb{Z}_p\mathbb{Z}_{p^2}
Minjia Shi, Xuan Wang
In the paper, we firstly study the algebraic structures of -additive cyclic codes and give the generator polynomials and the minimal spanning set of…
Several constructions of optimal LCD codes over small finite fields
Shitao Li, Minjia Shi, Huizhou Liu
Linear complementary dual (LCD) codes are linear codes which intersect their dual codes trivially, which have been of interest and extensively studied due to their practical applic…
On the coset graph construction of distance-regular graphs
Minjia Shi, Denis S. Krotov, Patrick Solé
We show that no more new distance-regular graphs in the tables of the book of (Brouwer, Cohen, Neumaier, 1989) can be produced by using the coset graph of additive completely regul…
-linear codes: rank and kernel
Minjia Shi, Shukai Wang, Xiaoxiao Li
A code is called -linear if it is the Gray image of a -additive code, where is prime. In this paper, the rank and the dimension of the kernel…
Equivalence and Duality of Polycyclic Codes Associated with Trinomials over Finite Fields
Minjia Shi, Haodong Lu, Shuang Zhou +2
In this paper, several conjectures proposed in [2] are studied, involving the equivalence and duality of polycyclic codes associated with trinomials. According to the results, we g…
DeFTA: A Plug-and-Play Decentralized Replacement for FedAvg
Yuhao Zhou, Minjia Shi, Yuxin Tian +2
Federated learning (FL) is identified as a crucial enabler for large-scale distributed machine learning (ML) without the need for local raw dataset sharing, substantially reducing…
The b-symbol weight distribution of irreducible cyclic codes and related consequences
Hongwei Zhu, Minjia Shi
The -symbol read channel is motivated by the limitations of the reading process in high density data storage systems. The corresponding new metric is a generalization of the Ham…
Self-dual Hadamard bent sequences
Minjia Shi, Yaya Li, Wei Cheng +3
A new notion of bent sequence related to Hadamard matrices was introduced recently, motivated by a security application ( Solé et al, 2021). We study the self dual class in length…