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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

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

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

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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},}

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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 -