Buy Number Theoretic Methods in Cryptography: Complexity lower bounds Progress in Computer Science and Applied Logic onFREE SHIPPING on qualified orders Number Theoretic Methods in Cryptography: Complexity lower bounds Progress in Computer Science and Applied Logic: Shparlinski, Igor: 9783764358884:: Books. The book introduces new techniques which imply rigorous lower bounds on the complexity of some number theoretic and cryptographic problems. These methods and techniques are based on bounds of character sums and numbers of solutions of some polynomial equations over finite fields and residue rings. It also contains a number of open problems and proposals for further research. The book introduces new techniques which imply rigorous lower bounds on the complexity of some number theoretic and cryptographic problems. These methods and techniques are based on bounds. with A. J. van der Poorten and H. G. Zimmer, Editors Proceedings of The Conference on Number Theoretic and Algebraic Methods in Computer Science, World Scientific, 1995. Finite fields: Theory and computation, Kluwer Academic Publishers, 1999. Number theoretic methods in cryptography: Complexity lower bounds, Birkhauser, 1999. This book constitutes the refereed post-conference proceedings of the First International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2017, held in Warsaw, Poland, in September 2017.The 15 revised full papers presented in this book together with 3 invited talks were carefully reviewed and selected from 32 initial submissions.

Cite this chapter as: Shparlinski I. 1999 Boolean Complexity of the Diffie—Hellman Key. In: Number Theoretic Methods in Cryptography. Progress in Computer Science and Applied Logic, vol 17. Books. Computational and algorithmic problems in finite fields, Kluwer AP, 1992. with A. J. van der Poorten and H. G. Zimmer, Editors Proceedings of The Conference on Number Theoretic and Algebraic Methods in Computer Science, World Scientific, 1995. Finite fields: Theory and computation, Kluwer Academic Publishers, 1999. Number theoretic methods in cryptography: Complexity lower bounds. Aug 01, 2005 · I.E. Shparlinski, Cryptographic Application of Analytic Number Theory: Complexity Lower Bounds and Pseudorandomness, Progress in Computer Science and Applied Logic, vol. 22, Birkhäuser Verlag, Basel, 2003. Nov 15, 2008 · I.E. Shparlinski, Cryptographic Applications of Analytic Number The- ory. Complexity Lower Bounds and Pseudorandomness, Progress in Computer Science and Applied Logic, vol. 22, Birkhäuser Verlag, Basel, 2003. I.E. Shparlinski, J.H. Silverman, On the linear complexity of the Naor– Reingold pseudo-random function from elliptic curves, Des. %%% --BibTeX-- %%% ===== %%% BibTeX-file %%% author = "Nelson H. F. Beebe", %%% version = "3.329", %%% date = "20 March 2020", %%% time = "12:15:54 MDT.

Cryptography and Computational Number Theory Kwok-Yan Lam, Igor Shparlinski, Huaxiong Wang, Chaoping Xing eds. This volume contains the refereed proceedings of the Workshop on Cryptography and Computational Number Theory, CCNT'99, which has been held in Singapore during the week of November 22-26, 1999. E. Shparlinski, Number theoretic methods in cryptography. bounds. Progress in Computer Science and Applied Logic, 17. Number theoretic methods in cryptography. Complexity lower bounds.

Shparlinski, I., Macquarie Univers ity, Sydney, Australia Cryptographic Applications of Number-Theoretic Methods Complexity Lower Bounds and Pseudorandomness. Progress in Computer Science and Applied Logic 22 2002. Approx. 450 pages. Hardcover ISBN 3-7643-6654-0 English Due in December 2002. 41. 005.8 WAG, Wagstaff Samuel S, Cryptanalysis of number theoretic ciphers / Samuel S. Wagstaff, Jr., Boca Raton, FL: CRC Press/Chapman & Hall, 2003. 42. 005.8 ΄ 2 YAN, Yan Song Y, Primality testing and integer factorization in public-key. Summary: The book introduces new techniques which imply rigorous lower bounds on the complexity of some number theoretic and cryptographic problems. These functions are considered over the residue ring modulo p and over the residue ring modulo an arbitrary divisor d of p - 1.

Number Theory: Complexity Lower Bounds and Pseudorandomness. By Igor Shparlinski. Birkhauser Verlag, Basel, 2003. $109.00. viii441 I pp., hardcover. ISBN 3-7643 6654-0. C.-F. Gauss, perhaps the greatest mathe matician of all time, used to say that math ematics is the queen of sciences and that. This paper shall give some theoretical support to the assumption of hardness of this number theoretic problem. We obtain lower bounds on degree, weight, and additive complexity of polynomials. Shparlinski, Number Theoretic Methods in Cryptography, 1999, Buch, 978-3-7643-5888-4. Bücher schnell und portofrei. Summary: The book introduces new techniques which imply rigorous lower bounds on the complexity of some number theoretic and cryptographic problems. These methods and techniques are based on bounds of character sums and numbers of solutions of some polynomial equations over finite fields and residue rings.

The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation. Key topics and features: - various lower bounds on the complexity of some number theoretic and cryptographic problems, associated with classical schemes such as RSA, Diffie-Hellman, DSA as well as with relatively new.

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