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20192026
most citedSubfield codes of linear codes from perfect nonlinear functions and their duals

3 citations · 5 across the 18 of their papers we have counts for

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7 papers · 1 filter

cs.IT2022

Generalized Hamming Weights of Linear Codes from Quadratic Forms over Finite Fields of Even Characteristic

Chao Liu, Dabin Zheng, Xiaoqiang Wang

The generalized Hamming weight of linear codes is a natural generalization of the minimum Hamming distance. They convey the structural information of a linear code and determine it…

cs.IT2022

Two classes of narrow-sense BCH codes and their duals

Xiaoqiang Wang, Jiaojiao Wang, Chengju Li +1

BCH codes and their dual codes are two special subclasses of cyclic codes and are the best linear codes in many cases. A lot of progress on the study of BCH cyclic codes has been m…

cs.IT2022

Two Classes of Constacyclic Codes with Variable Parameters

Zhonghua Sun, Cunsheng Ding, Xiaoqiang Wang

Constacyclic codes over finite fields are a family of linear codes and contain cyclic codes as a subclass. Constacyclic codes are related to many areas of mathematics and outperfor…

cs.IT2022

Infinite families of cyclic and negacyclic codes supporting 3-designs

Xiaoqiang Wang, Chunming Tang, Cunsheng Ding

Interplay between coding theory and combinatorial -designs has been a hot topic for many years for combinatorialists and coding theorists. Some infinite families of cyclic codes…

cs.IT2022

Two families of negacyclic BCH codes

Xiaoqiang Wang, Zhonghua Sun, Cunsheng Ding

Negacyclic BCH codes are a subclass of neagcyclic codes and are the best linear codes in many cases. However, there have been very few results on negacyclic BCH codes. Let be a…

cs.IT2022

Several Families of Irreducible Constacyclic and Cyclic Codes

Zhonghua Sun, Xiaoqiang Wang, Cunsheng Ding

In this paper, several families of irreducible constacyclic codes over finite fields and their duals are studied. The weight distributions of these irreducible constacyclic codes a…