Title data
Kiermaier, Michael ; Kurz, Sascha:
Classification of Δdivisible linear codes spanned by codewords of weight Δ.
Bayreuth
,
2023
.  12 p.
DOI: https://doi.org/10.15495/EPub_UBT_00006857
This is the latest version of this item.
Abstract in another language
We classify all qary Δdivisible 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 ReedMuller codes and the parity check codes. This generalizes a result of Pless and Sloane, where the binary selforthogonal 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 Δdivisible codes of length 4Δ in the projective case.
Further data
Available Versions of this Item

Classification of Δdivisible linear codes spanned by codewords of weight Δ. (deposited 23 Jan 2021 22:00)
 Classification of Δdivisible linear codes spanned by codewords of weight Δ. (deposited 17 Feb 2023 07:07) [Currently Displayed]