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20222026
most citedBinary self-orthogonal codes which meet the Griesmer bound or have optimal minimum distances

1 citations · 1 across the 10 of their papers we have counts for

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11 papers

cs.IT2026

Norm-One Torus Decompositions and Decoding of Gashkov-Sidel'nikov Codes

Minjia Shi, Shitao Li, Yuhong Xia +2

Let , let , and let \[\mathcal T=\{x\in K^*:\operatorname{N}_{K/\mathbb F_q}(x)=1\}.\] For both cyclic and constacyclic Gashkov-Sidel'nikov codes, we show…

cs.IT2025

Lower Bounds for Error Coefficients of Griesmer Optimal Linear Codes via Iteration

Chaofeng Guan, Shitao Li, Gaojun Luo +2

The error coefficient of a linear code is defined as the number of minimum-weight codewords. In an additive white Gaussian noise channel, optimal linear codes with the smallest err…

cs.IT2024

Determining the covering radius of all generalized Zetterberg codes in odd characteristic

Minjia Shi, Shitao Li, Tor Helleseth +1

For an integer , let be the generalized Zetterberg code of length over the finite field $\F_{q_0}$ of odd characteristic. Recently, Shi, Hell…

cs.IT2024

A further study on the mass formula for linear codes with prescribed hull dimension

Shitao Li, Minjia Shi, Yang Li +1

Finding a mass formula for a given class of linear codes is a fundamental problem in combinatorics and coding theory. In this paper, we consider the action of the unitary (resp. sy…

cs.IT2024

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…

cs.IT2023

An open problem and a conjecture on binary linear complementary pairs of codes

Shitao Li, Minjia Shi, San Ling

The existence of -ary linear complementary pairs (LCPs) of codes with has been completely characterized so far. This paper gives a characterization for the existence of b…