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» The Number Field Sieve
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90
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APAL
2010
71views more  APAL 2010»
15 years 28 days ago
On some definable sets over fields with analytic structure
We discover geometric properties of certain definable sets over non-Archimedean valued fields with analytic structures. Results include a parameterized smooth stratification theore...
Y. Firat Çelikler
111
Voted
CSR
2006
Springer
15 years 4 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
98
Voted
MOC
2000
94views more  MOC 2000»
15 years 18 days ago
Irreducibility testing over local fields
The purpose of this paper is to describe a method to determine whether a bivariate polynomial with rational coefficients is irreducible when regarded as an element in Q((x))[y], th...
P. G. Walsh
99
Voted
ANTS
2004
Springer
93views Algorithms» more  ANTS 2004»
15 years 6 months ago
Nonic 3-adic Fields
We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the ...
John W. Jones, David P. Roberts
ISMVL
1993
IEEE
90views Hardware» more  ISMVL 1993»
15 years 5 months ago
Current-Mode CMOS Galois Field Circuits
Use of current-mode CMOS circuitsfor implementation of multiple-valued logic (MVL)functions has been considered in a number of recent papers. In this paper, we present an applicat...
Zeljko Zilic, Zvonko G. Vranesic