Intersection sets, three-character multisets and associated codes

Autor: Luca Giuzzi, Angela Aguglia
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Popis: 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.
Comment: 17 Pages; revised and corrected results
Databáze: OpenAIRE