16 citations · 19 across the 3 of their papers we have counts for
4 papers
Modular SIMD arithmetic in Mathemagix
Joris van der Hoeven, Grégoire Lecerf, Guillaume Quintin
Modular integer arithmetic occurs in many algorithms for computer algebra, cryptography, and error correcting codes. Although recent microprocessors typically offer a wide range of…
On the decoding of quasi-BCH codes
Morgan Barbier, Clément Pernet, Guillaume Quintin
In this paper we investigate the structure of quasi-BCH codes. In the first part of this paper we show that quasi-BCH codes can be derived from Reed-Solomon codes over square matri…
On Quasi-Cyclic Codes as a Generalization of Cyclic Codes
Morgan Barbier, Christophe Chabot, Guillaume Quintin
In this article we see quasi-cyclic codes as block cyclic codes. We generalize some properties of cyclic codes to quasi-cyclic ones such as generator polynomials and ideals. Indeed…
An algorithm for list decoding number field codes
Jean-François Biasse, Guillaume Quintin
We present an algorithm for list decoding codewords of algebraic number field codes in polynomial time. This is the first explicit procedure for decoding number field codes whose c…