Modular constructions of pseudorandom binary sequences with composite moduli

Joël Rivat, A. Sárközy

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

Recently, Goubin, Mauduit, Rivat and Sárközy have given three constructions for large families of binary sequences. In each of these constructions the sequence is defined by modulo congruences where p is a prime number. In this paper the three constructions are extended to the case when the modulus is of the form pq where p, q are two distinct primes not far apart (note that the well-known Blum-Blum-Shub and RSA constructions for pseudorandom sequences are also of this type). It is shown that these modulo pq constructions also have certain strong pseudorandom properties but, e.g., the ("long range") correlation of order 4 is large (similar phenomenon may occur in other modulo pq constructions as well).

Original languageEnglish
Pages (from-to)75-107
Number of pages33
JournalPeriodica Mathematica Hungarica
Volume51
Issue number2
DOIs
Publication statusPublished - Dec 2005

Fingerprint

Pseudorandom Sequence
Binary Sequences
Modulus
Composite
Modulo
Long-range Correlations
Prime number
Congruence
Distinct

Keywords

  • Additive character
  • Binary sequence
  • Correlation
  • Pseudo-random

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Modular constructions of pseudorandom binary sequences with composite moduli. / Rivat, Joël; Sárközy, A.

In: Periodica Mathematica Hungarica, Vol. 51, No. 2, 12.2005, p. 75-107.

Research output: Contribution to journalArticle

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