A Partition of the Hypercube into Maximally Nonparallel Hamming Codes |
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| Authors: | Denis S Krotov |
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| Institution: | 1. Sobolev Institute of Mathematics, pr. Akademika Koptyuga 4, Novosibirsk 630090, Russia;2. Novosibirsk State University, Pirogova 2, Novosibirsk 630090, Russia |
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| Abstract: | By using the Gold map, we construct a partition of the hypercube into cosets of Hamming codes such that for every two cosets the corresponding Hamming codes are maximally nonparallel, that is, their intersection cardinality is as small as possible to admit nonintersecting cosets. |
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| Keywords: | perfect code 1‐perfect partition Gold function crooked permutation |
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