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CISC
2007
Springer
111views Cryptology» more  CISC 2007»
15 years 5 months ago
Multivariates Polynomials for Hashing
We propose the idea of building a secure hash using quadratic or higher degree multivariate polynomials over a finite field as the compression function. We analyze some security ...
Jintai Ding, Bo-Yin Yang
INFORMATICALT
2010
99views more  INFORMATICALT 2010»
14 years 10 months ago
Security Analysis of Asymmetric Cipher Protocol Based on Matrix Decomposition Problem
The asymmetric cipher protocol, based on decomposition problem in matrix semiring M over semiring of natural numbers N is presented. The security of presented cipher protocol is ba...
Andrius Raulynaitis, Eligijus Sakalauskas, Saulius...
150
Voted
CAP
2010
14 years 6 months ago
Parallel sparse polynomial interpolation over finite fields
We present a probabilistic algorithm to interpolate a sparse multivariate polynomial over a finite field, represented with a black box. Our algorithm modifies the algorithm of Ben...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
COMBINATORICA
2000
157views more  COMBINATORICA 2000»
14 years 11 months ago
Concentration of Multivariate Polynomials and Its Applications
Suppose t1, ..., tn are independent random variables which take value either 0 or 1, and Y is a multi-variable polynomial in ti's with positive coefficients. We give a conditi...
Jeong Han Kim, Van H. Vu
NA
2007
70views more  NA 2007»
14 years 11 months ago
Multivariate polynomial interpolation: conjectures concerning GC-sets
GC-sets are subsets T of Rd of cardinality dim Πn for which, for each τ ∈ T, there are n hyperplanes whose union contains all of T except for τ, thus making interpolation to a...
Carl de Boor