Ian F.Blake, V.Kumar Murty and Guangwu Xu
Efficient algorithms for Koblitz´┐Ż curves over fields of characteristic three.
Journal of Discrete Algorithms, 3, 2005, pp. 113-124.
Ian F.Blake, Gadiel Seroussi and Nigel P.Smart
Advances in Elliptic Curve Cryptogrphy.
Cambridge University Press, April, 2005.
Aldar C.-F.Chan and Ian F.Blake
Scalable, server-passive, user-ananymous timed release cryptography.
Conference on Information and System Science, ICDCS 2005, Ohio, June 2005.
Ian F.Blake, V.Kumar Murty and Guangwu Xu
Refinements of Miller's algorithm for computing the Weil/Tate pairing.
To appear in Journal of Algorithms.
Ian F.Blake, V.Kumar Murty and Guangwu Xu
A note on window τ-NAF algorithm.
To appear in Information Processing Letters.
E.C.Park and Ian F.Blake
On the mean number of encryptions for tree-based broadcast encryption schemes.
To appear in Journal of Discrete Algorithms.
Ian F.Blake, Theo Garefalakis and Igor Shparlinksi
On the Bit Security of the Diffie-Hellman Key.
To appear in Applicable Algebra in Communications and Computers.
Ian F.Blake, V.Kumar Murty and Guangwu Xu
Nonadjacent radix-τ expansions of integers in Euclidean imaginary quadratic number fields.
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E.C.Park and Ian F.Blake
Recursive expressions for tree-based key distribution shcemes.
Conference on Information and System Science,
Princeton University, March 2004.
Ian F.Blake and Vlad Kolesnikov
Strong conditional oblivious transfer and computing on intervals.
Asiacrypt 2004, Lecture Notes in Computer Science, Vol. 3329, pp. 119-134, 2004.
Ian F.Blake and Theo Garefalakis
On the complexity of the discrete logarithm and the Diffie-Hellman problems.
J. of Complexity, 20(2-3), 148-170, 2004.
Theo Garefalakis
The generalized Weil pairing and the discrete logarithm problem on elliptic curves.
Theoretical Comp. Sci. 321, 59-72, 2004.
A.Izadi and V.Kumar Murty
Counting points on an Abelian variety over a finite field.
Indocrypt, 2003
Nicolas Thériault
Index calculus attack for hyperelliptic curves of small genus.
Preprint, 2003.
Nicolas Thériault
Weil descent attack for Kummer extensions.
Preprint, 2003.
Nicolas Thériault
Weil descent attack for Arti-Schreier curves.
Preprint, 2003.
Ian F.Blake and Theo Garefalakis
On the security of the Digital Signature Algorithm.
Designs Codes and Cryptography, 26, 87-96, 2002.
Pramathanath Sastry
Base change and Grothendieck duality for Cohen-Macaulay maps.
Preprint, 2002.
S.Ali Miri and V.Kumar Murty
An application of sieve methods to elliptic curves.
Lecture Notes in Computer Science, 2247, Indocrypt, 2001,
pp. 91-98.
S.Ali Miri and V.Kumar Murty
Computational aspects of number theory.
In preparation, 2001.
V.Kumar Murty
Abelian varieties - optimal cryptography for wireless communications?
Wireless Security Perspectives, 2, 2000, pp. 3-5.
S.Ali Miri and V.Kumar Murty
The elliptic curve discrete logarithm problem and the lifting problem.
Preprint, 2000.
foto by:Jane M Sawyer