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» Complexity of Polynomial Multiplication over Finite Fields
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IJNSEC
2010
324views more  IJNSEC 2010»
13 years 2 months ago
Computing the Modular Inverse of a Polynomial Function over GF(2P) Using Bit Wise Operation
Most public key crypto systems use finite field modulo arithmetic. This modulo arithmetic is applied on real numbers, binary values and polynomial functions. The computation cost ...
Rajaram Ramasamy, Amutha Prabakar Muniyandi
FFA
2010
159views more  FFA 2010»
13 years 4 months ago
Parity of the number of irreducible factors for composite polynomials
Various results on parity of the number of irreducible factors of given polynomials over finite fields have been obtained in the recent literature. Those are mainly based on Swan&...
Ryul Kim, Wolfram Koepf
JC
2008
84views more  JC 2008»
13 years 7 months ago
On the linear complexity of Sidel'nikov sequences over nonprime fields
We introduce a generalization of Sidel'nikov sequences for arbitrary finite fields. We show that several classes of Sidel'nikov sequences over arbitrary finite fields ex...
Nina Brandstätter, Wilfried Meidl
CISS
2008
IEEE
14 years 1 months ago
Costas array generator polynomials in finite fields
—Permutations of order N are generated using polynomials in a Galois field GF(q) where q > N+1, which can be written as a linear transformation on a vector of polynomial coeff...
James K. Beard
MOC
1998
97views more  MOC 1998»
13 years 7 months ago
Euclid's algorithm and the Lanczos method over finite fields
Abstract. This paper shows that there is a close relationship between the Euclidean algorithm for polynomials and the Lanczos method for solving sparse linear systems, especially w...
Jeremy Teitelbaum