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» On value sets of polynomials over a field
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ICISC
2000
126views Cryptology» more  ICISC 2000»
13 years 8 months ago
Cryptographic Applications of Sparse Polynomials over Finite Rings
Abstract. This paper gives new examples that exploit the idea of using sparse polynomials with restricted coefficients over a finite ring for designing fast, reliable cryptosystems...
William D. Banks, Daniel Lieman, Igor Shparlinski,...
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
14 years 7 months ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov
JCT
2010
85views more  JCT 2010»
13 years 2 months ago
Symmetric bilinear forms over finite fields of even characteristic
Let Sm be the set of symmetric bilinear forms on an m-dimensional vector space over GF(q), where q is a power of two. A subset Y of Sm is called an (m, d)-set if the difference of...
Kai-Uwe Schmidt
JCT
2010
98views more  JCT 2010»
13 years 2 months ago
Lifts of matroid representations over partial fields
There exist several theorems which state that when a matroid is representable over distinct fields 1,..., k, it is also representable over other fields. We prove a theorem, the Li...
Rudi Pendavingh, Stefan H. M. van Zwam
CASCON
2007
104views Education» more  CASCON 2007»
13 years 9 months ago
Identifying fault-prone files using static analysis alerts through singular value decomposition
Static analysis tools tend to generate more alerts than a development team can reasonably examine without some form of guidance. In this paper, we propose a technique for leveragi...
Mark Sherriff, Sarah Smith Heckman, Mike Lake, Lau...