Pseudorandom vector sequences of maximal period generated by triangular polynomial dynamical systems

Alina Ostafe

doi:10.1007/s10623-011-9535-8

Pseudorandom vector sequences of maximal period generated by triangular polynomial dynamical systems

Alina Ostafe^*

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper we study the period of vector sequences generated by triangular polynomial systems and we characterize the case when their orbits are of maximal period. Moreover, we estimate multiplicative character sums with these sequences and we obtain better results using a different approach.

Original language	English
Pages (from-to)	59-72
Number of pages	14
Journal	Designs, Codes and Cryptography
Volume	63
Issue number	1
DOIs	https://doi.org/10.1007/s10623-011-9535-8
Publication status	Published - Apr 2012

Keywords

Triangular polynomial system
Polynomial dynamical system
Permutation system
Exponential sums
Multiplicative character sums
NONLINEAR RECURRING SEQUENCES

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10.1007/s10623-011-9535-8

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title = "Pseudorandom vector sequences of maximal period generated by triangular polynomial dynamical systems",

abstract = "In this paper we study the period of vector sequences generated by triangular polynomial systems and we characterize the case when their orbits are of maximal period. Moreover, we estimate multiplicative character sums with these sequences and we obtain better results using a different approach.",

keywords = "Triangular polynomial system, Polynomial dynamical system, Permutation system, Exponential sums, Multiplicative character sums, NONLINEAR RECURRING SEQUENCES",

author = "Alina Ostafe",

year = "2012",

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doi = "10.1007/s10623-011-9535-8",

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AB - In this paper we study the period of vector sequences generated by triangular polynomial systems and we characterize the case when their orbits are of maximal period. Moreover, we estimate multiplicative character sums with these sequences and we obtain better results using a different approach.

KW - Triangular polynomial system

KW - Polynomial dynamical system

KW - Permutation system

KW - Exponential sums

KW - Multiplicative character sums

KW - NONLINEAR RECURRING SEQUENCES

U2 - 10.1007/s10623-011-9535-8

DO - 10.1007/s10623-011-9535-8

M3 - Article

SN - 0925-1022

VL - 63

SP - 59

EP - 72

JO - Designs, Codes and Cryptography

JF - Designs, Codes and Cryptography

IS - 1

ER -

Pseudorandom vector sequences of maximal period generated by triangular polynomial dynamical systems

Abstract

Keywords

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