A relative van Hoeij algorithm over number fields, J. Symb. Comput, vol.37, issue.5, pp.641-668, 2004. ,
Topics in computational algebraic number theory, J. Théor. Nr. Bordx, vol.16, issue.1, pp.19-63, 2004. ,
Finding smooth integers in short intervals using CRT decoding, J. Comput. Syst. Sci, vol.64, issue.4, pp.768-784, 2002. ,
A course in computational algebraic number theory, Graduate Texts in Math, vol.138, 1993. ,
Advanced topics in computational number theory, Graduate Texts in Math, vol.193, 2000. ,
Ideal forms of Coppersmith's theorem and Guruswami-Sudan list decoding, 2010. ,
Efficient computation of the characteristic polynomial, ISSAC'05: Proceedings of the 2005 international symposium on symbolic and algebraic computation, pp.140-147, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00004056
Galois theory, Graduate Texts in Math, vol.101, 1984. ,
Generalized minimum distance decoding, IEEE Trans. Inform. Theory IT, vol.12, issue.2, pp.125-131, 1966. ,
Matrix polynomials, 1982. ,
Chinese remaindering with errors, IEEE Trans. Inform. Theory, vol.46, issue.4, pp.1330-1338, 2000. ,
Constructions of codes from number fields, IEEE Trans. Inform. Theory, vol.49, issue.3, pp.594-603, 2003. ,
List decoding of error-correcting codes, Lecture Notes in Comput. Sci, vol.3282, 2004. ,
Soft-decision" decoding of Chinese remainder codes, Proceedings of the 41st Annual Symposium on Foundations of Computer Science, pp.159-168, 2000. ,
Improved decoding of Reed-Solomon and algebraic-geometry codes, IEEE Trans. Inform. Theory, vol.45, issue.6, pp.1757-1767, 1999. ,
Extensions to the Johnson bound, 2001. ,
Algorithms for the shortest and closest lattice vector problems, Coding and cryptology, vol.6639, pp.159-190, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00640637
On computing the exact determinant of matrices with polynomial entries, J. Assoc. Comput. Mach, vol.22, pp.38-50, 1975. ,
Finding small roots of univariate modular equations revisit, Cryptography and Coding, vol.1355, pp.131-142, 1997. ,
A new upper bound for error-correcting codes, IRE Trans. IT, vol.8, issue.3, pp.203-207, 1962. ,
Improved asymptotic bounds for error-correcting codes, IEEE Trans. Inform. Theory IT, vol.9, issue.3, pp.198-205, 1963. ,
Mathematical Foundations of Computer Science, Lecture Notes in Comput. Sci, vol.379, pp.314-320, 1989. ,
Integer relations among algebraic numbers, Math. Comp, vol.54, issue.189, pp.467-477, 1990. ,
Grundzüge einer arithmetischen Theorie der algebraischen Grössen, J. Reine. Angew. Math, vol.92, pp.1-122, 1882. ,
Factoring polynomials over algebraic number fields, SIAM J. Comput, vol.14, issue.1, pp.184-195, 1985. ,
Factoring polynomials over algebraic number fields, Computer algebra, vol.162, pp.245-254, 1983. ,
Factoring polynomials with rational coefficients, Math. Ann, vol.261, issue.4, pp.515-534, 1982. ,
Mathematics and computer science II, Fundamental contributions in the Netherlands since 1945, Codes from algebraic number fields. Hazewinkel, vol.4, pp.95-104, 1986. ,
Algorithms in algebraic number theory, Bull. Amer. Math. Soc, vol.26, issue.2, pp.211-244, 1992. ,
On a class of arithmetic codes and a decoding algorithm, IEEE Trans. Inform. Theory IT, vol.22, issue.1, pp.85-88, 1976. ,
, Number fields, 1977.
The exact solution of systems of linear equations with polynomial coefficients, J. Assoc. Comput. Mach, vol.20, pp.563-588, 1973. ,
An inequality about factors of polynomials, Math. Comp, vol.28, pp.1153-1157, 1974. ,
Elementary and analytic theory of algebraic numbers, 2004. ,
Floating-point LLL revisited, Lecture Notes in Comput. Sci, vol.3494, pp.215-233, 2005. ,
URL : https://hal.archives-ouvertes.fr/inria-00000377
An LLL algorithm with quadratic complexity, SIAM J. Comput, vol.39, issue.3, pp.874-903, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00550981
Sequential and parallel complexity of approximate evaluation of polynomial zeros, Comput. Math. Appl, vol.14, issue.8, pp.591-622, 1987. ,
Bemerkung zur Norm der Inversen einer Matrix, Arch. Math, vol.5, pp.447-448, 1954. ,
On polyalphabetic block codes, Proc. IEEE ISOC Information Theory Workshop 2005 on Coding and Complexity, pp.207-210, 2005. ,
Introduction to numerical analysis, Texts in Appl. Math, vol.12, 1993. ,
Algorithms for matrix canonical forms, 2000. ,
Decoding of Reed-Solomon codes beyond the error-correction bound, J. Complex, vol.13, issue.1, pp.180-193, 1997. ,
Ideal error-correcting codes: Unifying algebraic and number-theoretic algorithms, Proc. Int. 14th Symp, vol.2227, pp.36-45, 2001. ,