A note on $t$-designs in isodual codes
Madoka Awada, Tsuyoshi Miezaki, Akihiro Munemasa, Hiroyuki Nakasora
TL;DR
This paper constructs 3-designs from extended binary quadratic residue codes and their duals, contributing to the understanding of combinatorial designs derived from coding theory.
Contribution
It introduces a method to generate 3-designs specifically from extended binary quadratic residue codes and their duals, expanding the link between coding theory and combinatorial designs.
Findings
Successfully constructed 3-designs from specific codes
Demonstrated the dual codes also yield 3-designs
Enhanced understanding of code-based combinatorial structures
Abstract
In the present paper, we construct 3-designs using extended binary quadratic residue codes and their dual codes.
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Taxonomy
TopicsCoding theory and cryptography · graph theory and CDMA systems · Finite Group Theory Research