5 research outputs found

    Embedding in MDS codes and Latin cubes

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    An embedding of a code is a mapping that preserves distances between codewords. We prove that any code with code distance ρ\rho and length dd can be embedded into an MDS code with the same code distance and length but under a larger alphabet. As a corollary we obtain embeddings of systems of partial mutually orthogonal Latin cubes and nn-ary quasigroups.Comment: 7 page
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