On Binary Digit-Position Sequences over Galois Rings, Admitting an Effect of Reduction of Period

A class of binary digit-position sequences, obtained from the linear recurring sequence of maximal period over Galois rings of odd characteristics and admitting an effect of twofold reduction of period, has been found. A condition was found where sequences of some fixed linear recurring sequence of...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-06, Vol.223 (5), p.642-647
Main Author: Kuzmin, S. A.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Reduction
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A class of binary digit-position sequences, obtained from the linear recurring sequence of maximal period over Galois rings of odd characteristics and admitting an effect of twofold reduction of period, has been found. A condition was found where sequences of some fixed linear recurring sequence of maximal period over Galois fields with such property are exhausted only by that class.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3372-x