3 papers · 1 filter
Error correcting codes from sub-exceeding fonction
Luc Rabefihavanana, Harinaivo Andriatahiny, Toussaint Rabeherimanana
In this paper, we present error-correcting codes which are the results of our research on the sub-exceeding functions. For a short and medium distance data transmission (wifi netwo…
A decoding algorithm for binary linear codes using Groebner bases
Harinaivo Andriatahiny, Jean Jacques Ferdinand Randriamiarampanahy, Toussaint Joseph Rabeherimanana
It has been discovered that linear codes may be described by binomial ideals. This makes it possible to study linear codes by commutative algebra and algebraic geometry methods. In…
Decoding binary Reed-Muller codes via Groebner bases
Harinaivo Andriatahiny, Jean Jacques Ferdinand Randriamiarampanahy, Toussaint Joseph Rabeherimanana
The binary Reed-Muller codes can be characterized as the radical powers of a modular algebra. We use the Groebner bases to decode these codes.