The Z 2 (s)-additive codes are subgroups of Z n 2 (s), and can be seen as a generalization of linear codes over Z 2 and Z 4. AZ 2 (s)-linear Hadamard code is a binary Hadamard code …
GT Bastos, MF Bollauf, AJ Ferrari - arXiv preprint arXiv:2309.12291, 2023 - arxiv.org
We propose an original approach to investigate the linearity of Gray codes obtained from $\mathbb {Z} _ {2^ L} $-additive codes by introducing two related binary codes: the …
The Z2s-additive codes are subgroups of Z n 2s, and can be seen as a generalization of linear codes over Z2 and Z4. A Z2s-linear Hadamard code is a binary Hadamard code which …
The $\mathbb {Z} _ {2^ s} $-additive codes are subgroups of $\mathbb {Z}^ n_ {2^ s} $, and can be seen as a generalization of linear codes over $\mathbb {Z} _2 $ and $\mathbb {Z} _4 …