Speeding up Subgroup Cryptosystems

Speeding up Subgroup Cryptosystems (2003)

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by Martijn Stam , Stam Martijn , Cover Paul Verspaget

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@TECHREPORT{Stam03speedingup,
    author = {Martijn Stam and Stam Martijn and Cover Paul Verspaget},
    title = {Speeding up Subgroup Cryptosystems},
    institution = {},
    year = {2003}
}

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Abstract

proefschrift ter verkrijging van de graad van doctor aan de Technische Universiteit Eindhoven, op gezag van de Rector Magnificus, prof.dr. R.A. van Santen, voor een commissie aangewezen door het College voor Promoties in het openbaar te verdedigen op woensdag 4 juni 2003 om 16.00 uur door

Citations

4409	CE: A Mathematical Theory of Communication - Shannon - 1948
1404	How to share a secret - Shamir - 1979
966	Lempel A: Universal algorithm for sequential data compression - Ziv - 1977
612	Compression of individual sequences via variable-rate coding - Ziv, Lempel - 1978
596	Communication Theory of Secrecy Systems - Shannon - 1949
303	Gaussian elimination is not optimal - Strassen - 1969
184	Lower bounds for discrete logarithms and related problems - Shoup - 1997
173	Practical threshold signatures - Shoup - 2000
78	An Improved Algorithm for Arithmetic on a Family of Elliptic Curves - Solinas - 1997
71	Evidence that XTR is more secure than supersingular elliptic curve cryptosystems - Verheul - 2004
50	Polynomial Algorithms in Computer Algebra - Winkler - 1996
49	Low-Weight Binary Representations for Pairs of Integers - Solinas - 2001
38	Synthesis of noiseless compression codes - Tunstall - 1967
36	On the performance of signature schemes based on elliptic curves - Win, Mister, et al. - 1998
35	A public-key cryptosystem and a digital signature system based on the Lucas function analogue to discrete logarithms - Smith, Skinner - 1995
26	A new public key system - Smith, Lennon, et al. - 1993
23	Speeding up XTR - Stam, Lenstra - 2001
22	Dynamics of the Binary Euclidean Algorithm: Functional Analysis and Operators - Vallée - 1998
22	On the evaluation of powers - Yao - 1976
19	Analysis of the subtractive algorithm for greatest common divisors - Yao, Knuth - 1975
18	a theory of factorization and genera - number - 1971
16	Berechnung und Programm - Strassen - 1972
14	Efficient subgroup exponentiation in quadratic and sixth degree extensions - Stam, Lenstra - 2003
14	Introduction to coding theory, volume 86 of Graduate Texts in Mathematics - Lint - 1991
9	Efficient generation of minimal length addition chains - Thurber - 1999
7	Quisquater, Analysis of the Gallant-Lambert-Vanstone Method based on Efficient Endomorphisms: Elliptic and Hyperelliptic Curves - Sica, Ciet, et al. - 2003
5	On Montgomery-like representations for elliptic curves over GF(2 k - Stam - 2003
5	zur Gathen. Efficient and optimal exponentiation in finite fields - von - 1991
4	Problems and Solutions: (5125) Addition Chains of Vectors - Straus - 1964
4	Fast exponentiation using data compression - Yacobi - 1998
3	Fast algorithms for LUC digital signature computation - YEN, LAIH - 1995
2	An iterative program to calculate Fibonacci numbers in O(log n) arithmetic operations - Shortt - 1978
2	Some results in algebraic complexity theory - Strassen - 1974
2	Computing short Lucas chains for elliptic curve cryptosystems - Tsuruoka
2	zur Gathen and M. Nöcker. Exponentiation in finite fields: theory and practice - von - 1997
1	Systematic method for determining the number of multiplications required to compute x m , where m is a positive integer - Semba - 1983
1	An O(log n) algorithm for computing the nth element of the solution of a difference equation - Urbanek - 1980
1	Accelerated finite field operations on an elliptic curve - Vanstone, Mullin, et al. - 1999
1	A method for computing lucas sequences - Wang, Chang, et al. - 1999
1	Improved discrete logarithm systems with key-size reduction, 2000. Anonymous Submission. Cryptologie is letterlijk de leer der geheimen. Oorspronkelijk is het inderdaad zo dat cryptografen zich voornamelijk bezig hielden met het versleutelen van geheime - Phoenix, van - 1993