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
Penulis telah mencadangkan jujukan berbilang nilai yang dipanggil jujukan NTU yang dijana oleh fungsi surih dan simbol Legendre di atas medan terhingga. Kebanyakan sifat untuk jujukan NTU seperti tempoh, kerumitan linear, autokorelasi, dan korelasi silang telah ditunjukkan secara teori dalam kerja kami sebelum ini. Walau bagaimanapun, pengedaran corak digit, yang merupakan salah satu ciri terpenting untuk aplikasi keselamatan, belum ditunjukkan lagi. Dalam kertas kerja ini, taburan telah dirumuskan dengan pembuktian teori dengan memfokuskan kepada bilangan 0 yang terkandung dalam pola digit.
Yuta KODERA
Okayama University
Takeru MIYAZAKI
The University of Kitakyushu
Md. Al-Amin KHANDAKER
Okayama University
Md. Arshad ALI
Okayama University
Takuya KUSAKA
Okayama University
Yasuyuki NOGAMI
Okayama University
Satoshi UEHARA
The University of Kitakyushu
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Salinan
Yuta KODERA, Takeru MIYAZAKI, Md. Al-Amin KHANDAKER, Md. Arshad ALI, Takuya KUSAKA, Yasuyuki NOGAMI, Satoshi UEHARA, "Distribution of Digit Patterns in Multi-Value Sequence over the Odd Characteristic Field" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 9, pp. 1525-1536, September 2018, doi: 10.1587/transfun.E101.A.1525.
Abstract: The authors have proposed a multi-value sequence called an NTU sequence which is generated by a trace function and the Legendre symbol over a finite field. Most of the properties for NTU sequence such as period, linear complexity, autocorrelation, and cross-correlation have been theoretically shown in our previous work. However, the distribution of digit patterns, which is one of the most important features for security applications, has not been shown yet. In this paper, the distribution has been formulated with a theoretic proof by focusing on the number of 0's contained in the digit pattern.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1525/_p
Salinan
@ARTICLE{e101-a_9_1525,
author={Yuta KODERA, Takeru MIYAZAKI, Md. Al-Amin KHANDAKER, Md. Arshad ALI, Takuya KUSAKA, Yasuyuki NOGAMI, Satoshi UEHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Distribution of Digit Patterns in Multi-Value Sequence over the Odd Characteristic Field},
year={2018},
volume={E101-A},
number={9},
pages={1525-1536},
abstract={The authors have proposed a multi-value sequence called an NTU sequence which is generated by a trace function and the Legendre symbol over a finite field. Most of the properties for NTU sequence such as period, linear complexity, autocorrelation, and cross-correlation have been theoretically shown in our previous work. However, the distribution of digit patterns, which is one of the most important features for security applications, has not been shown yet. In this paper, the distribution has been formulated with a theoretic proof by focusing on the number of 0's contained in the digit pattern.},
keywords={},
doi={10.1587/transfun.E101.A.1525},
ISSN={1745-1337},
month={September},}
Salinan
TY - JOUR
TI - Distribution of Digit Patterns in Multi-Value Sequence over the Odd Characteristic Field
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1525
EP - 1536
AU - Yuta KODERA
AU - Takeru MIYAZAKI
AU - Md. Al-Amin KHANDAKER
AU - Md. Arshad ALI
AU - Takuya KUSAKA
AU - Yasuyuki NOGAMI
AU - Satoshi UEHARA
PY - 2018
DO - 10.1587/transfun.E101.A.1525
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2018
AB - The authors have proposed a multi-value sequence called an NTU sequence which is generated by a trace function and the Legendre symbol over a finite field. Most of the properties for NTU sequence such as period, linear complexity, autocorrelation, and cross-correlation have been theoretically shown in our previous work. However, the distribution of digit patterns, which is one of the most important features for security applications, has not been shown yet. In this paper, the distribution has been formulated with a theoretic proof by focusing on the number of 0's contained in the digit pattern.
ER -