Multiset Combinatorial Gray Codes with Application to Proximity Sensor Networks

CS Chen, WS Wong, YH Lo, TL Wong - arXiv preprint arXiv:2410.15428, 2024 - arxiv.org
We investigate coding schemes that map source symbols into multisets of an alphabet set.
Such a formulation of source coding is an alternative approach to the traditional framework …

Nearly Perfect Covering Codes

A Boruchovsky, T Etzion - arXiv preprint arXiv:2405.00258, 2024 - arxiv.org
Nearly perfect packing codes are those codes that meet the Johnson upper bound on the
size of error-correcting codes. This bound is an improvement to the sphere-packing bound …