Title :
Pseudo-Random Number Generator Based on Binary and Quinary Maximal-Length Sequences
Author :
Pangratz, Heinrich ; Weinrichter, Hans
Author_Institution :
Department of Computer Science, Technical University of Vienna
Abstract :
A new pseudo-random generator for decimal numbers is presented. A sequence of decimal digits is obtained by combining a binary and a quinary maximal-length sequence generated by feedback shift-register circuits. The autocorrelation sequence (ACS) of the resulting decimal sequence is calculated; it shows that linear dependencies are extremely small. Finally, guidelines are developed for choosing feedback polynomials which yield low cross correlation between various sequences of decimal digits.
Keywords :
Autocorrelation sequence (ACS); binary and quinary maximal-length sequence; pseudo-random number generator; pseudo-random sequence; uniformly distributed numbers; Arithmetic; Autocorrelation; Binary sequences; Computational modeling; Distributed computing; Equations; Feedback circuits; Guidelines; Polynomials; Shift registers; Autocorrelation sequence (ACS); binary and quinary maximal-length sequence; pseudo-random number generator; pseudo-random sequence; uniformly distributed numbers;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1979.1675431