IEICE TRANSACTIONS on Fundamentals
Distribution of Digit Patterns in Multi-Value Sequence over the Odd Characteristic Field
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.9 pp.1525-1536
- Publication Date
- 2018/09/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E101.A.1525
- Type of Manuscript
- Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
- Category
Authors
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
Keyword
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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
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@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},}
Copy
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 -
English
