Intersection sets, three-character multisets and associated codes

Abstract

In this article we construct new minimal intersection sets in $\mathrm{AG}(r,q^2)$ sporting three intersection numbers with hyperplanes; we then use these sets to obtain linear error correcting codes with few weights, whose weight enumerator we also determine. Furthermore, we provide a new family of three-character multisets in $\mathrm{PG}(r,q^2)$ with $r$ even and we also compute their weight distribution.

17 Pages; revised and corrected results

References in corpus (1)

• A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing

Cited by in corpus (1)

• On mutually $\mu$-intersecting quasi-Hermitian varieties with some applications