arXiv
Open Access
2021
Embedding in MDS codes and Latin cubes
Vladimir N. Potapov
Abstrak
An embedding of a code is a mapping that preserves distances between codewords. We prove that any code with code distance $ρ$ and length $d$ 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 $n$-ary quasigroups.
Topik & Kata Kunci
Penulis (1)
V
Vladimir N. Potapov
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2021
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- arXiv
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- Open Access ✓