5 papers · 1 filter
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…
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…
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…
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…
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…