Results 21 to 30 of about 53 (53)
Probabilistic Construction of Normal Basis.
Let Fq be the finite field with q elements. A normal basis polynomial f # Fq [x] of degree n is an irreducible polynomial, whose roots form a (normal) basis for the field extension Fq n : Fq . We show that a normal basis polynomial of degree n can be
Gudmund S. Frandsen
core
ELA BERKOWITZ’S ALGORITHM AND CLOW SEQUENCES ∗
. A combinatorial interpretation of Berkowitz’s algorithm is presented. Berkowitz’s algorithm is the fastest known parallel algorithm for computing the characteristic polynomial of a matrix.
Michael Soltys
core
On Computing Factors of Cyclotomic Polynomials
For odd square-free n ? 1 the cyclotomic polynomial \Phi n (x) satisfies the identity of Gauss 4\Phi n (x) = A 2 n \Gamma (\Gamma1) (n\Gamma1)=2 nB 2 n : A similar identity of Aurifeuille, Le Lasseur and Lucas is \Phi n ((\Gamma1) (n\Gamma1)=2 x)
Derrick H. Lehmer, Richard P. Brent
core
An Effective Additive Basis for the Integers
We give an algorithm for the enumeration of a set E of nonnegative integers with the property that each nonnegative integer x can be written as a sum of two elements of E in at least C 1 log x and at most C 2 log x ways, where C 1 ; C 2 are positive ...
Mihail N. Koulountzakis
core
On Some Computational Problems in Finite Abelian Groups
We present new algorithms for computing orders of elements, discrete logarithms, and structures of finite abelian groups. We estimate the computational complexity and storage requirements, and we explicitly determine the O-constants and\Omega\Gammad ...
Johannes Buchmann +2 more
core
The anti-inflammatory effect of hydrogen sulphide on acute necrotizing pancreatitis in rats. [PDF]
Sağlam K +4 more
europepmc +1 more source
On addition-subtraction chains of numbers with low Hamming weight. [PDF]
Moody D, Tall A.
europepmc +1 more source
Bounding basis reduction properties. [PDF]
Neumaier A.
europepmc +1 more source
Oxidative damage, aging and anti-aging strategies. [PDF]
Haenold R +3 more
europepmc +1 more source
Survival outcomes and prognosis predictors of uveal melanoma from Indian population. [PDF]
Shah PN +4 more
europepmc +1 more source

