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- W1978495854 abstract "We show that a perfect 1-error-correcting code C is ‘foldable’ over its kernel via the Steiner triple systems associated to its codewords. The resulting ‘folding’ produces a graph invariant for C via Pasch configurations and tensors. Moreover, the invariant is complete for Vasil’ev codes of length 15, showing among other things the existence of nonadditive propelinear 1-perfect codes, and allowing to visualize a propelinear code by means of the commutative group formed by its classes mod kernel, as well as to generalize the notion of a propelinear code by extending the involved composition of permutations to a more general group product." @default.
- W1978495854 created "2016-06-24" @default.
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- W1978495854 date "2005-05-01" @default.
- W1978495854 modified "2023-10-17" @default.
- W1978495854 title "STS-graphs of perfect codes mod kernel" @default.
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- W1978495854 doi "https://doi.org/10.1016/j.disc.2004.12.008" @default.
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