Infinite Families Of 2-Designs Derived From Affine-Invariant Codes

JOURNAL OF COMBINATORIAL DESIGNS（2021）

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摘要

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.

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关键词

2-design, affine-invariant code, cyclic code, weight distribution

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