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MASCOTS
2001
14 years 11 months ago
Performance of Finite Field Arithmetic in an Elliptic Curve Cryptosystem
As the Internet commerce becomes a more important part of the economy, network security is receiving more emphasis. Time spent in data encryption can be a significant performance ...
Zhi Li, John Higgins, Mark J. Clement
STOC
2007
ACM
133views Algorithms» more  STOC 2007»
15 years 9 months ago
Interpolation of depth-3 arithmetic circuits with two multiplication gates
In this paper we consider the problem of constructing a small arithmetic circuit for a polynomial for which we have oracle access. Our focus is on n-variate polynomials, over a fi...
Amir Shpilka
DCC
2006
IEEE
15 years 9 months ago
A New Characterization of Semi-bent and Bent Functions on Finite Fields*
We present a new characterization of semi-bent and bent quadratic functions on finite fields. First, we determine when a GF(2)-linear combination of Gold functions Tr(x2i +1 ) is ...
Khoongming Khoo, Guang Gong, Douglas R. Stinson
82
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STOC
2005
ACM
158views Algorithms» more  STOC 2005»
15 years 9 months ago
Polynomial time quantum algorithm for the computation of the unit group of a number field
We present a quantum algorithm for the computation of the irrational period lattice of a function on Zn which is periodic in a relaxed sense. This algorithm is applied to compute t...
Arthur Schmidt, Ulrich Vollmer
TC
1998
14 years 9 months ago
A New Representation of Elements of Finite Fields GF(2m) Yielding Small Complexity Arithmetic Circuits
—Let F2 denote the binary field and F 2 m an algebraic extension of degree m > 1 over F2 . Traditionally, elements of F 2 m are either represented as powers of a primitive ele...
Germain Drolet