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CISC
2007
Springer
111views Cryptology» more  CISC 2007»
14 years 1 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»
13 years 6 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...
CAP
2010
13 years 2 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»
13 years 7 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»
13 years 7 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