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» Multivariates Polynomials for Hashing
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130
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ALENEX
2010
156views Algorithms» more  ALENEX 2010»
15 years 4 months ago
Tabulation Based 5-Universal Hashing and Linear Probing
Previously [SODA'04] we devised the fastest known algorithm for 4-universal hashing. The hashing was based on small pre-computed 4-universal tables. This led to a five-fold i...
Mikkel Thorup, Yin Zhang
133
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TC
2002
15 years 2 months ago
A Deterministic Multivariate Interpolation Algorithm for Small Finite Fields
We present a new multivariate interpolation algorithm over arbitrary fields which is primarily suited for small finite fields. Given function values at arbitrary t points, we show ...
Zeljko Zilic, Zvonko G. Vranesic
117
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IACR
2011
126views more  IACR 2011»
14 years 2 months ago
On Enumeration of Polynomial Equivalence Classes and Their Application to MPKC
The Isomorphism of Polynomials (IP) is one of the most fundamental problems in multivariate public key cryptography (MPKC). In this paper, we introduce a new framework to study th...
Dongdai Lin, Jean-Charles Faugère, Ludovic ...
CANS
2009
Springer
194views Cryptology» more  CANS 2009»
15 years 9 months ago
Algebraic Attack on the MQQ Public Key Cryptosystem
Abstract. In this paper, we present an efficient attack on the multivariate Quadratic Quasigroups (MQQ) public key cryptosystem. Our cryptanalysis breaks the MQQ cryptosystem by so...
Mohamed Saied Emam Mohamed, Jintai Ding, Johannes ...
125
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CORR
2010
Springer
179views Education» more  CORR 2010»
15 years 9 hour ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...