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MOC
2000
97views more  MOC 2000»
13 years 4 months ago
Families of irreducible polynomials of Gaussian periods and matrices of cyclotomic numbers
Given an odd prime p we show a way to construct large families of polynomials Pq(x) Q[x], q C, where C is a set of primes of the form q 1 mod p and Pq(x) is the irreducible poly...
F. Thaine
COMBINATORICS
2006
136views more  COMBINATORICS 2006»
13 years 4 months ago
3-Designs from PGL(2, q)
The group PGL(2, q), q = pn, p an odd prime, is 3-transitive on the projective line and therefore it can be used to construct 3-designs. In this paper, we determine the sizes of o...
Peter J. Cameron, G. R. Omidi, Behruz Tayfeh-Rezai...
WAIFI
2007
Springer
127views Mathematics» more  WAIFI 2007»
13 years 10 months ago
The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic
We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over Fq2 , where q is some power of an odd prime. Our extractor, for a given poi...
Reza Rezaeian Farashahi, Ruud Pellikaan
AAECC
2007
Springer
133views Algorithms» more  AAECC 2007»
13 years 10 months ago
Linear Complexity and Autocorrelation of Prime Cube Sequences
Abstract. We review a binary sequence based on the generalized cyclotomy of order 2 with respect to p3 , where p is an odd prime. Linear complexities, minimal polynomials and autoc...
Young-Joon Kim, Seok-Yong Jin, Hong-Yeop Song