Infinite series of $3$-designs in the extended quadratic residue code

Abstract

In this paper, we show infinite series of $3$-designs in the extended quadratic residue codes over ${\mathbb{F}}_{r^2}$ for a prime $r$.

14 pages. arXiv admin note: text overlap with arXiv:2309.03206; text overlap with arXiv:2305.03285 by other authors