Open AccessInfinite families of 2-designs from a class of affine-invariant codes
Author(s) -
Yan Liu,
Xiwang Cao
Publication year - 2024
Publication title -
advances in mathematics of communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.601
H-Index - 26
eISSN - 1930-5346
pISSN - 1930-5338
DOI - 10.3934/amc.2022011
Subject(s) - mathematics , affine transformation , invariant (physics) , linear code , discrete mathematics , class (philosophy) , affine combination , weight distribution , affine hull , combinatorics , pure mathematics , block code , affine space , algorithm , decoding methods , computer science , artificial intelligence , engineering , mathematical physics , aerospace engineering
In this paper, we first introduce a class of cyclic codes and their related linear codes which are affine-invariant. Then we obtain infinite families of 2-designs from the affine-invariant codes. And the parameters of the 2-designs are determined by considering the weight distribution of the linear codes.