Results 21 to 30 of about 56 (55)
Probabilistic Construction of Normal Basis.
, 1998 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
On Computing Factors of Cyclotomic Polynomials
, 1992 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
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ELA BERKOWITZ’S ALGORITHM AND CLOW SEQUENCES ∗
, 2008 . 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
An Effective Additive Basis for the Integers
, 1995 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
Spray-dried mucoadhesive microspheres: preparation and transport through nasal cell monolayer. [PDF]
AAPS PharmSciTech, 2006 Harikarnpakdee S +3 more
europepmc +2 more sources
The anti-inflammatory effect of hydrogen sulphide on acute necrotizing pancreatitis in rats. [PDF]
Turk J Surg, 2017 Sağlam K +4 more
europepmc +1 more source
On addition-subtraction chains of numbers with low Hamming weight. [PDF]
Notes Number Theory Discret Math, 2019 Moody D, Tall A.
europepmc +1 more source
Bounding basis reduction properties. [PDF]
Des Codes Cryptogr, 2017 Neumaier A.
europepmc +1 more source
Production of alkaline protease with immobilized cells of Bacillus subtilis PE-11 in various matrices by entrapment technique. [PDF]
AAPS PharmSciTech, 2005 Adinarayana K, Jyothi B, Ellaiah P.
europepmc +1 more source