On Binary Digit-Position Sequences over Galois Rings, Admitting an Effect of Reduction of Period
- Authors: Kuzmin S.A.1
-
Affiliations:
- Aff1
- Issue: Vol 223, No 5 (2017)
- Pages: 642-647
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239404
- DOI: https://doi.org/10.1007/s10958-017-3372-x
- ID: 239404
Cite item
Abstract
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.
About the authors
S. A. Kuzmin
Aff1
Author for correspondence.
Email: kzmn_sr@mail.ru
Russian Federation, Moscow