Title
Generalized explicit inversive generators of small p-weight degree.
Abstract
Using rational functions to generate pseudorandom number sequences is a popular research topic. In this paper, we study bounds on additive character sums of a new explicit generator based on rational functions with small p-weight degree. This extends the class of functions where a nontrivial character sum bound is known.
Year
DOI
Venue
2014
10.1016/j.ffa.2013.10.010
Finite Fields and Their Applications
Keywords
Field
DocType
additive character sum,generalized explicit inversive generator,pseudorandom number sequence,new explicit generator,rational function,popular research topic,small p-weight degree,nontrivial character sum,finite field,pseudorandom
Discrete mathematics,Combinatorics,Pseudorandom generators for polynomials,Algebra,Pseudorandomness,Character sum,Pseudorandom generator,Rational function,Pseudorandom generator theorem,Mathematics,Inversive,Pseudorandom number generator
Journal
Volume
ISSN
Citations 
25
1071-5797
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
Sara D. Cardell187.75
Domingo Gomez-perez26110.22
Jaime Gutierrez315418.15