2 papers
cs.CR2025
Quadratic Modelings of Syndrome Decoding
Alessio Caminata, Ryann Cartor, Alessio Meneghetti +2
This paper presents enhanced reductions of the bounded-weight and exact-weight Syndrome Decoding Problem (SDP) to a system of quadratic equations. Over , we improve o…
cs.IT2021
Decoding Reed-Solomon codes by solving a bilinear system with a Gröbner basis approach
Magali Bardet, Rocco Mora, Jean-Pierre Tillich
Decoding a Reed-Solomon code can be modeled by a bilinear system which can be solved by Gröbner basis techniques. We will show that in this particular case, these techniques are mu…