Showing 2021Show all
2 papers · 1 filter
cs.IT2021
On the dimension and structure of the square of the dual of a Goppa code
Rocco Mora, Jean-Pierre Tillich
The Goppa Code Distinguishing (GD) problem asks to distinguish efficiently a generator matrix of a Goppa code from a randomly drawn one. We revisit a distinguisher for alternant an…
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…