Abstract
The Z2s-additive codes are subgroups of Z2s n, 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 is the Gray map image of a Z2s -additive code. For s=2, the kernel of Z4 -linear Hadamard codes can be used for their complete classification. In this paper, the kernel of Z2s -linear Hadamard codes is given for s > 2. However, unlike for s=2, we show that the dimension of the kernel just allows a partial classification of these Hadamard codes.
Original language | English |
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Pages (from-to) | 107-117 |
Number of pages | 11 |
Journal | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
DOIs | |
Publication status | Published - 2017 |
Keywords
- Classification
- Gray map
- Hadamard code
- Kernel
- Z-additive code
- Z-linear code