5 research outputs found
Embedding in MDS codes and Latin cubes
An embedding of a code is a mapping that preserves distances between
codewords. We prove that any code with code distance and length 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 -ary quasigroups.Comment: 7 page