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Исследование возможности синтеза бинарных псевдослучайных последовательностей с периодом p = 6R + 1 при формировании на основе шести классов степенных вычетов по простому модулю

Исследование возможности синтеза бинарных псевдослучайных последовательностей с периодом p = 6R + 1 при формировании на основе шести классов степенных вычетов по простому модулю

Abstract

Проведено исследование возможности синтеза бинарных псевдослучайных последовательностей с простым периодом P  1mod6 на основе шести классов степенных вычетов по простому модулю. Доказано, что кроме последовательностей Холла и Лежандра других бинарных последовательностей с указанными ограничениями не существует. Найдено новое правило кодирования псевдослучайных последовательностей Холла.

Keywords

СИНТЕЗ, БИНАРНЫЕ ПОСЛЕДОВАТЕЛЬНОСТИ, ПЕРИОДИЧЕСКАЯ КОРРЕЛЯЦИОННАЯ ФУНКЦИЯ, ПРАВИЛО КОДИРОВАНИЯ, ЦИКЛОТОМИЧЕСКИЕ ЧИСЛА

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold