Yasuyuki Nogami

Work place: Graduate School of Natural Science and Technology, Okayama University, 3-1-1 Tsushima-naka, Kita-ku, Okayama 700-8530, Japan

E-mail: yasuyuki.nogami@okayama-u.ac.jp


Research Interests: Application Security, Hardware Security, Information Security, Network Security, Information-Theoretic Security


Yasuyuki Nogami graduated from Shinshu University in 1994 and received the PhD degree in 1999 from Shinshu University. He is now a professor of Okayama University. His main fields of
research are finite field theory and its applications such as recent public key cryptographies. He is now studying about elliptic curve cryptography, pairing-based cryptography, Lattice-based cryptography, pseudo random number generator, Advanced Encryption Standard, and homomorphic encryptions. Recently, he is a member of security research group in Okayama university and particularly focusing on IoT security from the viewpoints of software and hardware implementations. He is a member of IEICE and IEEE.

Author Articles
Pseudo Random Ternary Sequence and Its Autocorrelation Property Over Finite Field

By Md. Arshad Ali Emran Ali Md. Ahsan Habib Md. Nadim Takuya Kusaka Yasuyuki Nogami

DOI: https://doi.org/10.5815/ijcnis.2017.09.07, Pub. Date: 8 Sep. 2017

In this paper, the authors have proposed an innovative approach for generating a pseudo random ternary sequence by using a primitive polynomial, trace function, and Legendre symbol over odd characteristics field. Let p be an odd prime number, FP be an odd characteristic prime field, and m be the degree of the primitive polynomial f(x) Let w be its zero and a primitive element in Fpm* In the beginning, a primitive polynomial f(x) generates maximum length vector sequence, then the trace function Tr(.) is used to map an element of the extension field (Fpm) to an element of the prime field Fthen non-zero scalar A∈Fp is added to the trace value, and finally the Legendre symbol (a/p) is utilized to map the scalars into ternary sequence having the values, {0,1,and -1} By applying the new parameter A the period of the sequence is extended to its maximum value that is n=pm-1 Hence, our proposed sequence has some parameters such as p,m,and A This paper mathematically explains the properties of the proposed ternary sequence such as period and autocorrelation. Additionally, these properties are also justified based on some experimental results.

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