## Title data

Kiermaier, Michael ; Kurz, Sascha:

**Classification of Δ-divisible linear codes spanned by codewords of weight Δ.**

Bayreuth
,
2021
. - 12 p.

DOI: https://doi.org/10.15495/EPub_UBT_00005227

## Abstract in another language

We classify all q-ary Δ-divisible linear codes which are spanned by codewords of weight Δ. The basic building blocks are the simplex codes, and for q=2 additionally the first order Reed-Muller codes and the parity check codes. This generalizes a result of Pless and Sloane, where the binary self-orthogonal codes spanned by codewords of weight 4 have been classified, which is the case q=2 and Δ=4 of our classification. As an application, we give an alternative proof of a theorem of Liu on binary Δ-divisible codes of length 4Δ in the projective case.