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» Multivariates Polynomials for Hashing
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121
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STOC
2005
ACM
132views Algorithms» more  STOC 2005»
16 years 2 months ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...
Zeev Dvir, Amir Shpilka
104
Voted
DAGSTUHL
2006
15 years 4 months ago
Probabilistically Stable Numerical Sparse Polynomial Interpolation
We consider the problem of sparse interpolation of a multivariate black-box polynomial in floating-point arithmetic. That is, both the inputs and outputs of the black-box polynomia...
Mark Giesbrecht, George Labahn, Wen-shin Lee
110
Voted
ADG
1998
Springer
127views Mathematics» more  ADG 1998»
15 years 6 months ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
156
Voted
EUROCRYPT
2011
Springer
14 years 6 months ago
Homomorphic Signatures for Polynomial Functions
We construct the first homomorphic signature scheme that is capable of evaluating multivariate polynomials on signed data. Given the public key and a signed data set, there is an...
Dan Boneh, David Mandell Freeman
ACISP
2005
Springer
15 years 8 months ago
Building Secure Tame-like Multivariate Public-Key Cryptosystems: The New TTS
Abstract. Multivariate public-key cryptosystems (sometimes polynomial-based PKC’s or just multivariates) handle polynomials of many variables over relatively small fields instea...
Bo-Yin Yang, Jiun-Ming Chen