On the lengths of divisible codes

Titelangaben

Kiermaier, Michael ; Kurz, Sascha:
On the lengths of divisible codes.
2018
Veranstaltung: Kolloquium über Kombinatorik (KolKom) , 23. bis 24. Nov. 2018 , Universität Paderborn.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

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Abstract

A linear code C is said to be Δ-divisible if all its Hamming weights are multiples of Δ. The main case of interest is that Δ is a power of the characteristic of the base field. Divisible codes have been introduced by Ward in 1981. His divisible code bound restricts the dimension of divisible codes.

In this talk, we focus on the lengths of q^r-divisible