Étude du problème du logarithme discret dans I F p 3

Ndiaye El Hadji Oumar

Annales de la Faculté des sciences de Toulouse : Mathématiques (1995)

  • Volume: 4, Issue: 2, page 269-296
  • ISSN: 0240-2963

How to cite

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El Hadji Oumar, Ndiaye. "Étude du problème du logarithme discret dans $IF_{p^3}$." Annales de la Faculté des sciences de Toulouse : Mathématiques 4.2 (1995): 269-296. <http://eudml.org/doc/73352>.

@article{ElHadjiOumar1995,
author = {El Hadji Oumar, Ndiaye},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {finite fields; public key cryptography; discrete logarithm problem; algorithm},
language = {fre},
number = {2},
pages = {269-296},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Étude du problème du logarithme discret dans $IF_\{p^3\}$},
url = {http://eudml.org/doc/73352},
volume = {4},
year = {1995},
}

TY - JOUR
AU - El Hadji Oumar, Ndiaye
TI - Étude du problème du logarithme discret dans $IF_{p^3}$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1995
PB - UNIVERSITE PAUL SABATIER
VL - 4
IS - 2
SP - 269
EP - 296
LA - fre
KW - finite fields; public key cryptography; discrete logarithm problem; algorithm
UR - http://eudml.org/doc/73352
ER -

References

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  1. [1] Adleman ( L.) .— A subexponential algorithm for the discrete logarithm problem with applications to cryptography, Proc. 20th IEEE Fond. Comp. Sci. Symp., 1979, pp. 55-60. 
  2. [2] Cohn ( H.) .— A Classical Invitation to Algebraic Numbers and Class Fields, Springer Verlag, 1978. Zbl0395.12001MR506156
  3. [3] El Gamal ( T.) .— A Subexponential-Time of Computing discrete logarithm over GF(p2), IEEE Transaction on information theory IT-31, n° 4, July 1985, pp. 473-481. Zbl0573.12006MR798553
  4. [4] Hellman ( M.) et Reyneri ( J.) .— Fast computation of discrete logarithms over GF(pm), Crypto '82 Conf., Santa Barbara, CA (August 1982). Zbl0514.94013
  5. [5] Lidl ( R.) et Niederreiter ( H.) .— Introduction to finite fields and their applications, Cambridge University Press, 1986. Zbl0629.12016MR860948
  6. [6] Serre ( J.-P.) .— A Course in Arithmetic, Springer-Verlag, New-York, 1973. Zbl0256.12001MR344216
  7. [7] Vincent Cioffari ( G.) . — The Euclidean Condition in Pure Cubic and Complex Quartic Fields. Mathematics of Computation33, number 145 (January 1979), pp. 389-398. Zbl0399.12001MR514835
  8. [8] Borevitch ( Z.I.) et Chafarevitch ( I.R.) .— Théorie des nombres, Gauthier-VillarsParis, 1967. Zbl0145.04901MR205908

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