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Distribution of Digit Patterns in Multi-Value Sequence over the Odd Characteristic Field

Yuta KODERA, Takeru MIYAZAKI, Md. Al-Amin KHANDAKER, Md. Arshad ALI, Takuya KUSAKA, Yasuyuki NOGAMI, Satoshi UEHARA

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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

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