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Experimental Mathematics Volume 14, 2005 - Issue 3
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Original Article

On Minimal Logarithmic Signatures of Finite Groups

Wolfgang Lempken Institute for Experimental Mathematics, University of Duisburg-Essen, Ellernstrasse 29, 45326 Essen, Germany
&
Tran van Trung Institute for Experimental Mathematics, University of Duisburg-Essen, Ellernstrasse 29, 45326 Essen, Germany
Pages 257-269 | Published online: 30 Jan 2011

  • W. Bosma, J. Cannon, and C. Playoust. "The Magma Algebra System I. The User Language." Journal of Symbolic Computation 24 (1997), 235–265.
  • J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson. ATLAS of Finite Groups. Oxford: Clarendon Press, 1985. Reprinted 2003.
  • M. I. González Vasco and R. Steinwandt. "Obstacles in Two Public Key Cryptosystems Based on Group Factorizations." In Cryptology, edited by K. Nemega and O. Grošsek, Tatra Mountains Math. Pub. 25, pp. 23–37. Bratislava: Mathematical Institute of Slovak Academy of Sciences, 2002.
  • M. I. González Vasco, M. Rötteler, and R. Steinwandt. "On Minimal Length Factorizations of Finite Groups." Experimental Mathematics 12 (2003), 1–12.
  • D. F. Holt and P. Rowley. "On Products of Sylow Subgoups in Finite Groups." Archiv der Mathematik 60 (1993), 105–107.
  • M. W. Liebeck, C. E. Praeger, and J. Saxl. "The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups." Memoirs of the American Mathematical Society 86:432 (1990), 1–151.
  • Spyros S. Magliveras. "A Cryptosystem from Logarithmic Signatures of Finite Groups." In Proceedings of the 29th Midwest Symposium on Circuits and Systems, pp. 972–975. Amsterdam: Elsevier Publishing Company, 1986.
  • Spyros S. Magliveras. "Secret and Public- Key Cryptosystems from Group Factorizations." In Cryptology, edited by K. Nemega and O. Grošsek, Tatra Mountains Math. Pub. 25, pp. 11–22. Bratislava: Mathematical Institute of Slovak Academy of Sciences, 2002.
  • S. S. Magliveras, D. R. Stinson, and Tran van Trung. "New Approaches to Designing Public Key Cryptosystems using One-Way Functions and Trapdoors in Finite Groups." J. Cryptology 15 (2002), 285–297.

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