Sep 8, 2012 - implementation of Ep using simple modular arithmetic, and suggested that this ... modulo p, and each element of the second row modulo p2.

and equivalent hard problems for elliptic divisibility sequences. Katherine Stange1 and Kristin Lauter2. 1Department of Mathematics, Harvard University and.

p elements and the curve has order p then clearly the standard square root ... P = 0;16 + 21:43 + 22:432 + 20:433 + 26:434 + 8:435 + 35:436 + 36:437 + O 438 ;.

ECC-DSA: Elliptic Curve Cryptography Digital Signature Algorithm ... 2 .... digital signatures and even the Elliptic Curve Digital Signature Algorithm(ECDSA),.

Feb 5, 2004 - rithm problem in E(F2l ) one should have an algorithm, working in ... [9] Digital Signature Standard(DSS), FIPS PUB 186-2,2000 January 27. 6.

Based on pairings, many novel cryptographic protocols have been .... At first we describe an outline of the polynomial selection of JL02-FFS, after that.

[13] or Schnorr's [35], or in the Digital Signature Algorithm [29]. Interactive proofs of ... Finally, applications and possible security benefits are discussed.

2000] R. Canetti, J. Friedlander, S. Konyagin, M. Larsen, D. Lieman, and I. Shpar- linski .... David Larson. Texas A&M University, USA [email protected]

G. Everest and G. McLaren and T. Ward: Primitive divisors of elliptic divisibility ... G. Everest and H. King: Prime powers in elliptic divisibility sequences. Preprint.

Jan 28, 2015 - The first kangaroo method was proposed by Pollard in 1978 in [9]. ...... the algorithm was to start with a range of values for which the optimal val-.

computations with non-group data are for free. ... Many cryptographic schemes for digital signatures, ... ciphertexts and signatures must represent random in-.

of the discrete logarithm problem, including the current state of algorithms for
solving it, complexity issues related to the discrete logarithm problem,.