Abstract—This paper has focused on a pseudorandom binary sequence for the security applications. The secureness of random numbers, namely the randomness of the sequence, is evaluated by some specific properties such as period, its linear complexity and bits distribution. Especially from the viewpoint of the security, the latter two properties are widely used to evaluate the randomness of a sequence. The authors have proposed a pseudorandom sequence which achieves the maximum linear complexity in their previous works. However, the distribution of bits is not balanced in one period of an NTU sequence. Therefore, this paper aims to derive the uniformly distributed sequence without fewer effects on the other properties. The approach will help to achieve the uniform distribution with almost no calculation costs.
Index Terms—ICT, secure database system, pseudorandom binary sequence, uniform bits distribution.
Y. Kodera, T. Kusaka, A. M. Arshad, and Y. Nogami are with Graduate School of Natural Science and Technology, Okayama University, Japan (e-mail: yuta.kodera@s.okayama-u.ac.jp, kusaka-t@okayama-u.ac.jp, arshad@s.okayama-u.ac.jp, yasuyuki.nogami@okayama-u.ac.jp).
T. Miyazaki and S. Uehara are with Faculty of Environmental Engineering The University of Kitakyushu, Japan (e-mail: miyazaki@kitakyu-u.ac.jp, uehara@kitakyu-u.ac.jp).
[PDF]
Cite:Yuta Kodera, Takeru Miyazaki, Takuya Kusaka, Ali Md. Arshad, Yasuyuki Nogami, and Satoshi Uehara, "Uniform Binary Sequence Generated over Odd Characteristic Field," International Journal of Information and Electronics Engineering vol. 8, no. 1, pp. 5-9, 2018.
