On optimal constant weight codes derived from ω-circulant balanced generalized weighing matrices
Document Type
Article
Publication Date
5-14-2024
Department
Department of Mathematical Sciences
Abstract
Balanced generalized weight matrices are used to construct optimal constant weight codes that are monomially inequivalent to codes derived from the classical simplex codes. What’s more, these codes can be assumed to be generated entirely by ω-shifts of a single codeword where ω is a primitive element of a Galois field. Additional constant weight codes are derived by projecting onto subgroups of the alphabet sets. These too are shown to be optimal.
Publication Title
Designs, Codes, and Cryptography
Recommended Citation
Kharaghani, H.,
Pender, T.,
&
Tonchev, V.
(2024).
On optimal constant weight codes derived from ω-circulant balanced generalized weighing matrices.
Designs, Codes, and Cryptography.
http://doi.org/10.1007/s10623-024-01414-w
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/791