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Infinite families of 2‐designs derived from affine‐invariant codes
Author(s) -
Liu Yan,
Cao Xiwang
Publication year - 2021
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21796
Subject(s) - mathematics , affine transformation , invariant (physics) , discrete mathematics , affine combination , combinatorics , weight distribution , pure mathematics , mathematical physics , engineering , aerospace engineering
In this paper, we first study a general type of affine‐invariant codes and their support 2‐designs. Then we derive infinite families of 2‐designs from a special class of affine‐invariant codes and obtain their parameters by determining the weight distribution of the linear codes.