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» Complexity of Polynomial Multiplication over Finite Fields
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CORR
2004
Springer
117views Education» more  CORR 2004»
13 years 7 months ago
Efficient dot product over word-size finite fields
We want to achieve efficiency for the exact computation of the dot product of two vectors over word size finite fields. We therefore compare the practical behaviors of a wide range...
Jean-Guillaume Dumas
ISSAC
2007
Springer
199views Mathematics» more  ISSAC 2007»
14 years 1 months ago
A sparse modular GCD algorithm for polynomials over algebraic function fields
We present a first sparse modular algorithm for computing a greatest common divisor of two polynomials f1, f2 ∈ L[x] where L is an algebraic function field in k ≥ 0 paramete...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
MOC
1998
131views more  MOC 1998»
13 years 7 months ago
An algorithm for evaluation of discrete logarithms in some nonprime finite fields
In this paper we propose an algorithm for evaluation of logarithms in the finite fields Fpn , where the number pn − 1 has a small primitive factor r. The heuristic estimate of ...
Igor A. Semaev
APCCAS
2006
IEEE
292views Hardware» more  APCCAS 2006»
14 years 1 months ago
Another Look at the Sequential Multiplier over Normal Bases
—The Massey-Omura multiplier is a well-known sequential multiplier over finite fields GF(2m ), which can perform multiplication in m clock cycles for the normal basis. In this ar...
Zih-Heng Chen, Ming-Haw Jing, Trieu-Kien Truong, Y...
DCC
2006
IEEE
14 years 7 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