Abstract
The Z2s-additive codes are subgroups of Z2sn, 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.
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CITATION STYLE
Fernández-Córdoba, C., Vela, C., & Villanueva, M. (2017). On the kernel of Z2s-linear hadamard codes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10495 LNCS, pp. 107–117). Springer Verlag. https://doi.org/10.1007/978-3-319-66278-7_10
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