On ideal t-tuple distribution of filtering de Bruijn sequence generators

Cryptography and Communications, Volume 10, Issue 4, 2018, Pages 629-641.

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Keywords:
Pseudorandom sequencesStatistical propertiesDe Bruijn sequencesComposited construction94A60

Abstract:

A binary de Bruijn sequence is a sequence of period 2 in which every -tuple occurs exactly once in one period. A de Bruijn sequence is attractive because of having good statistical properties such as long period, balance, high linear complexity and ideal -tuple distribution. A nonlinear feedback shift register (NLFSR) can be used to gener...More

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