The goal of this paper is twofold. The main one is to survey thelatest results on the perfect and quasi-perfect Lee error correcting codes. Theother goal is to show that the area of Lee error correcting codes, like many ideasin mathematics, can trace its roots to the Phytagorean theorem a2+b2 = c2. Thusto show that the area of the perfect Lee error correcting codes is an integral partof mathematics. It turns out that Minkowski’s conjecture, which is an interface ofnumber theory, approximation theory, geometry, linear algebra, and group theoryis one of the milestones on the route to Lee codes.
@article{93,
title = {Error-correcting codes and Minkowski's conjecturre},
journal = {Tatra Mountains Mathematical Publications},
volume = {45},
year = {2010},
doi = {10.2478/tatra.v45i0.93},
language = {EN},
url = {http://dml.mathdoc.fr/item/93}
}
Horák, Peter. Error-correcting codes and Minkowski's conjecturre. Tatra Mountains Mathematical Publications, Tome 45 (2010) . doi : 10.2478/tatra.v45i0.93. http://gdmltest.u-ga.fr/item/93/