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» Algorithms for Exponentiation in Finite Fields
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CSR
2006
Springer
13 years 11 months ago
Complexity of Polynomial Multiplication over Finite Fields
Let Mq (n ) denote the number of multiplications required to compute the coefficients of the product of two polynomials of degree n over a q -element field by means of bilinear alg...
Michael Kaminski
DCC
2006
IEEE
14 years 7 months ago
Efficient Computation of Roots in Finite Fields
We present an algorithm to compute r-th roots in Fqm with complexity O((log m + r log q)m2 log2 q) for certain choices of m and q. This compares well to previously known algorithms...
Paulo S. L. M. Barreto, José Felipe Voloch
DCC
2008
IEEE
14 years 7 months ago
On solving sparse algebraic equations over finite fields
A system of algebraic equations over a finite field is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an unde...
Igor Semaev
SIAMCOMP
2008
103views more  SIAMCOMP 2008»
13 years 7 months ago
Compression in Finite Fields and Torus-Based Cryptography
Abstract. We present efficient compression algorithms for subgroups of multiplicative groups of finite fields, we use our compression algorithms to construct efficient public key c...
Karl Rubin, Alice Silverberg
COCO
2008
Springer
79views Algorithms» more  COCO 2008»
13 years 9 months ago
Towards Dimension Expanders over Finite Fields
In this paper we study the problem of explicitly constructing a dimension expander raised by [BISW04]: Let Fn be the n dimensional linear space over the field F. Find a small (ide...
Zeev Dvir, Amir Shpilka