1 citations · 1 across the 1 of their papers we have counts for
3 papers
cs.IT2019
Obtaining binary perfect codes out of tilings
Gabriella Akemi Miyamoto, Marcelo Firer
A tiling of the -dimensional Hamming cube gives rise to a perfect code (according to a given metric) if the basic tile is a metric ball. We are concerned with metrics on the …
cs.IT2019★ 1 cited
Equivalence classes of small tilings of the Hamming cube
Gabriella Akemi Miyamoto
The study of tilings is a major problem in many mathematical instances, which is studied in two main different approaches: when considering the existence (or obstructions to the ex…
cs.IT2019
Metrics which turn tilings into binary perfect codes
Gabriella Akemi Miyamoto, Marcelo Firer
In this work, we consider tilings of the Hamming cube and look for metrics which turn the tilings into a perfect code. We consider the family of metrics which are determined by a w…