Computing discrete logarithms in F 3 6·137 and F 3 6·163 using Magma, Arithmetic of Finite Fields: WAIFI'2014, pp.3-22, 2014. ,
A subexponential algorithm for the discrete logarithm problem with applications to cryptography, 20th Annual Symposium on Foundations of Computer Science (sfcs 1979), pp.55-60, 1979. ,
DOI : 10.1109/SFCS.1979.2
Function field sieve method for discrete logarithms over finite fields, Inf. Comput, vol.151, issue.12, pp.5-16, 1999. ,
Discrete logarithm in GF (2 809 ) with FFS, Public-Key Cryptography, PKC 2014, pp.221-238, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00818124
A heuristic quasipolynomial algorithm for discrete logarithm in finite fields of small characteristic, Advances in Cryptology: EUROCRYPT 2014, pp.1-16, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00835446
Computing logarithms in GF(2 n ), Advances in Cryptology, CRYPTO'84, pp.73-82, 1984. ,
On a problem of Oppenheim concerning ???factorisatio numerorum???, Journal of Number Theory, pp.1-28, 1983. ,
DOI : 10.1016/0022-314X(83)90002-1
Fast evaluation of logarithms in fields of characteristic two, IEEE Transactions on Information Theory, vol.30, issue.4, pp.587-593, 1984. ,
DOI : 10.1109/TIT.1984.1056941
New directions in cryptography, IEEE Transactions on Information Theory, vol.22, issue.6, pp.644-654, 1976. ,
DOI : 10.1109/TIT.1976.1055638
On the function field sieve and the impact of higher splitting probabilities, Advances in Cryptology: CRYPTO'2013, pp.109-128, 2013. ,
Massively parallel computation of discrete logarithms, Advances in Cryptology: CRYPTO'92, pp.312-323, 1992. ,
Breaking " 128-bit secure " supersingular binary curves (or how to solve discrete logarithms in F 2 4·1223 and F 2 12·367 ), Advances in Cryptology: CRYPTO'2014 (Part II), pp.126-145, 2014. ,
On the powers of 2. Cryptology ePrint Archive, 2014. ,
On the discrete logarithm problem in finite fields of fixed characteristic, Transactions of the American Mathematical Society, vol.685, 2015. ,
DOI : 10.1090/tran/7027
Fast computation of discrete logarithms in GF(q), Advances in Cryptology: CRYPTO'82, pp.3-13, 1982. ,
Finding primitive elements in finite fields of small characteristic. CoRR, abs, 1206. ,
Faster Index Calculus for the Medium Prime Case Application to 1175-bit and 1425-bit Finite Fields, Advances in Cryptology: EUROCRYPT'2013, pp.177-193, 2013. ,
DOI : 10.1007/978-3-642-38348-9_11
A New Index Calculus Algorithm with Complexity $$L(1/4+o(1))$$ in Small Characteristic, Selected Areas in Cryptography, SAC 2013, pp.355-379, 2013. ,
DOI : 10.1007/978-3-662-43414-7_18
The Function Field Sieve Is Quite Special, ANTS, pp.431-445, 2002. ,
DOI : 10.1007/3-540-45455-1_34
URL : https://hal.archives-ouvertes.fr/hal-01102040
The Function Field Sieve in the Medium Prime Case, Advances in Cryptology: EUROCRYPT'2006, pp.254-270, 2006. ,
DOI : 10.1007/11761679_16
URL : https://hal.archives-ouvertes.fr/hal-00456191
The Past, Evolving Present, and Future of the Discrete Logarithm, Open Problems in Mathematics and Computational Science, pp.5-36, 2014. ,
DOI : 10.1007/978-3-319-10683-0_2
Improving the Polynomial time Precomputation of Frobenius Representation Discrete Logarithm Algorithms, Advances in Cryptology: ASIACRYPT'2014, pp.378-397, 2014. ,
DOI : 10.1007/978-3-662-45611-8_20
URL : https://hal.archives-ouvertes.fr/hal-01213649
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, Journal of Research of the National Bureau of Standards, vol.45, issue.4, 1950. ,
DOI : 10.6028/jres.045.026
Finite fields. Encyclopaedia of mathematics and its applications, 1997. ,
Some experiments investigating a possible L(1/4) algorithm for the discrete logarithm problem in algebraic curves, Cryptology ePrint Archive, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01097362
An analytic approach to smooth polynomials over finite fields, ANTS, pp.226-236, 1998. ,
DOI : 10.1007/BFb0054865
Fast, Rigorous Factorization and Discrete Logarithm Algorithms, Discrete algorithms and complexity, pp.119-143, 1987. ,
DOI : 10.1016/B978-0-12-386870-1.50014-9
Key Length Estimation of Pairing-Based Cryptosystems Using ^|^eta;T Pairing over GF(3n), IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.97, issue.1, pp.97-236, 2014. ,
DOI : 10.1587/transfun.E97.A.236
Lower Bounds for Discrete Logarithms and Related Problems, EUROCRYPT, pp.256-266, 1997. ,
DOI : 10.1007/3-540-69053-0_18
Factoring polynomials over finite fields: A survey, Journal of Symbolic Computation, issue.12, pp.313-330, 2001. ,
Solving sparse linear equations over finite fields, IEEE Transactions on Information Theory, vol.32, issue.1, pp.54-62, 1986. ,