The discrete logarithm problem in that setting (DLP) is the problem ..... example in 2008, the company Symantec developed its first crypt certificates based in elliptic ..... dz/fmath/IMG/pdf/Chapitre 7.pdf, 2011, [Online; accessed August 26, 2011.]
For fixed characteristic extension fields, the main difference between the L(1/2) ..... Note that for Kummer extensions, i.e., when h1 = 1 and h0 = aX for some a ...
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.
Apr 6, 2015 - Under a first fall degree assumption the regularity degree of the ... curves over prime fields or binary fields of prime extension degree was ...
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 ;.
cauteren [8], it is well known that if one can solve certain pairing-inversion prob- .... solve the discrete logarithm problem in sub-exponential time in the order of the .... points [7], knowing the equation defining such an elliptic curve would pro
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.
Dec 4, 2014 - of the corresponding sparse matrix with a vector (SpMV). This central ..... MMX instruction set: we map an RNS residue to an unsigned 64-bit integer. â Streaming SIMD ..... CUDA Programming Guide Version 4.2, 2012.
[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].
Jun 17, 1999 - line with recommended parameters for the Digital Signature Algorithm. ... Signature Standard suggests tha
Jun 17, 1999 - line with recommended parameters for the Digital Signature Algorithm. However ... the Digital. Signature
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-.
topic. The first applications were digital signatures to mimic handwritten signatures for digital documents. Then, Chaum wanted to create an electronic version of ...
Dec 23, 2005 - between the Discrete Basis Problem and some problems involving database tiling ... Muita tietoja â Ãvriga uppgifter â Additional information.
Jul 19, 2018 - Step 3. Store the first element of each cycle Ïj of h as First[j] in an array. ... in [4], which show that a solution is unique modulo the least common multiple of m1,..., .... is found by moving (cyclically) right by D[i] positions i
the famous paper about zero-knowledge [19] which claimed that it was possible ... ever, all of the above schemes remained less efficient than the original ...
Dec 23, 2005 - at Arlington for the ideas presented in Section 2.3; Aristides Gionis for so many .... Section 2.1 gives a formal definition of the Discrete Basis Problem. ... L1-metric is not the only possible function to be used in lâ. ... selecti
T. Mielikдinen is with the Palo Alto Systems Research Center, Nokia,. 955 Page Mill Road, .... famous formulation is due to Lee and Seung [3]. Since their article, the .... example's framework, the columns of the first factor matrix ...... 4. agent,
of the discrete logarithm problem, including the current state of algorithms for
solving it, complexity issues related to the discrete logarithm problem,.
