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MOC
2000
97views more  MOC 2000»
13 years 6 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 6 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»
14 years 29 days 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»
14 years 1 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