Pseudo-random generators using linear feedback shift registers with output extraction

Fuente: arXiv
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Autore principale: Nobach, Holger
Natura: Preprint
Pubblicazione: 2024
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author Nobach, Holger
author_facet Nobach, Holger
contents The use of three extractors, fed by linear feedback shift registers (LFSR) for generating pseudo-random bit streams is investigated. Specifically, a standard LFSR is combined with a von Neumann extractor, a modified LFSR, extended by the all-zero state, is combined with an output logic, which translates every three bits from the LFSR into up to two output bits and a run extraction of the input bit stream into single output bits are investigated. The latter two achieve better efficiency in using bits from the primary bit stream, the last one reaches 50\%. Compared to other generator logics, the three extractors investigated are less performant in terms of their cryptographic strength. However, the focus of this report is on the quality of the pseudo-random bit stream in comparison to really random bits and on the efficiency of using the bits of the primary stream from the LFSR and generating valid output bits, while fulfilling a minimum cryptographic strength only, beyond that of the pure LFSR.
format Preprint
id arxiv_https___arxiv_org_abs_2404_12011
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Pseudo-random generators using linear feedback shift registers with output extraction
Nobach, Holger
Cryptography and Security
65C10, 68P25, 94A60
E.3
The use of three extractors, fed by linear feedback shift registers (LFSR) for generating pseudo-random bit streams is investigated. Specifically, a standard LFSR is combined with a von Neumann extractor, a modified LFSR, extended by the all-zero state, is combined with an output logic, which translates every three bits from the LFSR into up to two output bits and a run extraction of the input bit stream into single output bits are investigated. The latter two achieve better efficiency in using bits from the primary bit stream, the last one reaches 50\%. Compared to other generator logics, the three extractors investigated are less performant in terms of their cryptographic strength. However, the focus of this report is on the quality of the pseudo-random bit stream in comparison to really random bits and on the efficiency of using the bits of the primary stream from the LFSR and generating valid output bits, while fulfilling a minimum cryptographic strength only, beyond that of the pure LFSR.
title Pseudo-random generators using linear feedback shift registers with output extraction
topic Cryptography and Security
65C10, 68P25, 94A60
E.3
url https://arxiv.org/abs/2404.12011