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AAECC
2006
Springer
125views Algorithms» more  AAECC 2006»
13 years 11 months ago
Combinatorial Group Theory and Public Key Cryptography
Abstract. After some excitement generated by recently suggested public key exchange protocols due to Anshel-Anshel-Goldfeld and Ko-Lee et al., it is a prevalent opinion now that th...
Vladimir Shpilrain, Gabriel Zapata
AAECC
2006
Springer
132views Algorithms» more  AAECC 2006»
13 years 11 months ago
The Conjugacy Search Problem in Public Key Cryptography: Unnecessary and Insufficient
The conjugacy search problem in a group G is the problem of recovering an x G from given g G and h = x-1 gx. This problem is in the core of several recently suggested public key ...
Vladimir Shpilrain, Alexander Ushakov
AAECC
2006
Springer
109views Algorithms» more  AAECC 2006»
13 years 11 months ago
Cryptosystems using Linear Groups
Several suggestions are presented for developing cryptosystems, both classical and public key, using a combination of combinatorial group theory and linear groups. In particular, t...
Gilbert Baumslag, Benjamin Fine, Xiaowei Xu
AAECC
2006
Springer
102views Algorithms» more  AAECC 2006»
13 years 11 months ago
An effective proof of the well-foundedness of the multiset path ordering
The contribution of this paper is an effective proof of the well-foundedness of MPO, as a term of the Calculus of Inductive Constructions. This proof is direct, short and simple. ...
Solange Coupet-Grimal, William Delobel
AAECC
2006
Springer
120views Algorithms» more  AAECC 2006»
13 years 11 months ago
Continued fraction for formal laurent series and the lattice structure of sequences
Abstract Besides equidistribution properties and statistical independence the lattice profile, a generalized version of Marsaglia's lattice test, provides another quality meas...
Wilfried Meidl
AAECC
2006
Springer
133views Algorithms» more  AAECC 2006»
13 years 11 months ago
On the low hamming weight discrete logarithm problem for nonadjacent representations
So-called nonadjacent representations are commonly used in elliptic curve cryptography to facilitate computing a scalar multiple of a point on an elliptic curve. A nonadjacent rep...
James A. Muir, Douglas R. Stinson
AAECC
2006
Springer
100views Algorithms» more  AAECC 2006»
13 years 11 months ago
On Doubly-Cyclic Convolutional Codes
Cyclicity of a convolutional code (CC) is relying on a nontrivial automorphism of the algebra F[x]/(xn - 1), where F is a finite field. A particular choice of the data leads to th...
Heide Gluesing-Luerssen, Wiland Schmale
AAECC
2006
Springer
77views Algorithms» more  AAECC 2006»
13 years 11 months ago
Protecting against key-exposure: strongly key-insulated encryption with optimal threshold
A new framework for protection against key exposure was recently suggested by Dodis et. al. [16]. We take its realization further towards practice by presenting simple new schemes...
Mihir Bellare, Adriana Palacio
AAECC
2006
Springer
133views Algorithms» more  AAECC 2006»
13 years 11 months ago
The Berlekamp-Massey Algorithm revisited
We propose a slight modification of the Berlekamp-Massey Algorithm for obtaining the minimal polynomial of a given linearly recurrent sequence. Such a modification enables to expl...
Nadia Ben Atti, Gema M. Diaz-Toca, Henri Lombardi