DCC
2011
IEEE
13 years 6 months ago
2011
IEEE
Using the structure of Singer cycles in general linear groups, we prove that a conjecture of Zeng, Han and He (2007) holds in the affirmative in a special case, and outline a plaus...
FFA
2010
13 years 10 months ago
2010
We count the number of irreducible polynomials in several variables of a given degree over a finite field. The results are expressed in terms of a generating series, an exact for...
JSC
1998
13 years 11 months ago
1998
We present an algorithm for computing the integral closure of a reduced ring that is finitely generated over a finite field. Leonard and Pellikaan [4] devised an algorithm for c...
ISSAC
1997
Springer
14 years 3 months ago
1997
Springer
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
CRYPTO
2001
Springer
14 years 4 months ago
2001
Springer
Consider a network of processors among which elements in a finite field K can be verifiably shared in a constant number of rounds. Assume furthermore constant-round protocols ar...
CIE
2009
Springer
14 years 6 months ago
2009
Springer
Abstract. Let Fq be a finite field with q elements. We produce an (effective) elimination of quantifiers for the structure of the set of polynomials, Fq[t], of one variable, in...