Computational aspects of retrieving a representation of an algebraic geometry code

Irene Márquez-Corbella (1) , Edgar Martinez-Moro (2) , Ruud Pellikaan (3) , Ruano Diego (4)

1 GRACE - Geometry, arithmetic, algorithms, codes and encryption
2 Department of Applied Mathematics, University of Valladolid,
3 Department of mathematics and computing science [Eindhoven]
4 Department of Mathematical Sciences [Aalborg]

Mots clés: Public key cryptosystem; Code-based cryptography; Algebraic geometry codes; Gröbner basis

Domaines: Géométrie algébrique [math.AG]; Théorie de l'information et codage [math.IT]; Théorie de l'information [cs.IT]

Irene Márquez-Corbella, Edgar Martinez-Moro, Ruud Pellikaan, Ruano Diego. Computational aspects of retrieving a representation of an algebraic geometry code. Journal of Symbolic Computation, 2014, Mathematical and computer algebra techniques in cryptology, 64, pp.67-87. ⟨10.1016/j.jsc.2013.12.007⟩. ⟨hal-01088430⟩