The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Dalam tinjauan ini, kami meringkaskan sifat pseudorandom dan bukan rawak beberapa jujukan teori nombor dan membentangkan keputusan tentang tingkah laku mereka di bawah ukuran pseudorandom berikut: keseimbangan, kerumitan linear, ukuran korelasi susunan k, kerumitan pengembangan dan kerumitan 2-adic. Jujukan teori nombor ialah jujukan Legendre dan penjana dua perdana, jujukan Thue-Morse dan jujukan sub-sepanjang petak, dan jujukan omega perdana untuk integer dan polinomial.
Arne WINTERHOF
Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences
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Salinan
Arne WINTERHOF, "Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 12, pp. 1452-1460, December 2023, doi: 10.1587/transfun.2023SDI0001.
Abstract: In this survey we summarize properties of pseudorandomness and non-randomness of some number-theoretic sequences and present results on their behaviour under the following measures of pseudorandomness: balance, linear complexity, correlation measure of order k, expansion complexity and 2-adic complexity. The number-theoretic sequences are the Legendre sequence and the two-prime generator, the Thue-Morse sequence and its sub-sequence along squares, and the prime omega sequences for integers and polynomials.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2023SDI0001/_p
Salinan
@ARTICLE{e106-a_12_1452,
author={Arne WINTERHOF, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions},
year={2023},
volume={E106-A},
number={12},
pages={1452-1460},
abstract={In this survey we summarize properties of pseudorandomness and non-randomness of some number-theoretic sequences and present results on their behaviour under the following measures of pseudorandomness: balance, linear complexity, correlation measure of order k, expansion complexity and 2-adic complexity. The number-theoretic sequences are the Legendre sequence and the two-prime generator, the Thue-Morse sequence and its sub-sequence along squares, and the prime omega sequences for integers and polynomials.},
keywords={},
doi={10.1587/transfun.2023SDI0001},
ISSN={1745-1337},
month={December},}
Salinan
TY - JOUR
TI - Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1452
EP - 1460
AU - Arne WINTERHOF
PY - 2023
DO - 10.1587/transfun.2023SDI0001
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2023
AB - In this survey we summarize properties of pseudorandomness and non-randomness of some number-theoretic sequences and present results on their behaviour under the following measures of pseudorandomness: balance, linear complexity, correlation measure of order k, expansion complexity and 2-adic complexity. The number-theoretic sequences are the Legendre sequence and the two-prime generator, the Thue-Morse sequence and its sub-sequence along squares, and the prime omega sequences for integers and polynomials.
ER -