ON BINARY DIGIT-POSITION SEQUENCES OVER GALOIS RINGS, ADMITTING AN EFFECT OF REDUCTION OF PERIOD

摘要

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.