AAECC-3 Abstracts

In a projective plane $\mathit{PG}(2,\mathbb{K})$ defined over an algebraically closed field $\mathbb{K}$ of characteristic 0, we give a complete classification of 3-nets realizing a finite group. An infinite family, due to Yuzvinsky (Compos. Math. 140:1614---1624, 2004 ), arises from plane ...

Tang and Ding (IEEE Trans Inf Theory 67(1):244–254, 2021) opened a new direction of searching for t-designs from elementary symmetric polynomials, which are used to construct the first infinite family of linear codes supporting 4-designs. In this ...${\mathrm{}}^{}$${}^{\mathrm{}}$${\mathrm{}}^{\mathrm{}}$${\mathrm{}}^{\mathrm{}}$

Interplay between coding theory and combinatorial <inline-formula> <tex-math notation="LaTeX">$t$ </tex-math></inline-formula>-designs has been a hot topic for many years for combinatorialists and coding theorists. Some infinite families of cyclic codes ...