Abstract—The article investigates the detail distribution
of RSA modulus’ small divisor in the T3 tree in terms of the
divisor-ratio. It proves that, the distribution of the small
divisor in T3 tree is completely determined by the divisorratio
and the parity of the level where the RSA modulus lies,
the small divisor of a RSA modulus lying on an even level
lies on the same level as where the square root of the
modulus is clamped, whereas that of a modulus on an odd
level possibly lies on the same level or the higher adjacent
level of the square root. Through mathematical induction, it
shows that a smaller divisor-ratio results in a closer position
of the small divisor to the square root of a RSA modulus.
Index Terms—Cryptography, RSA modulus, divisor ratio,
binary tree.
The authors are with Department of Mechatronic Engineering,
Foshan University, Foshan, PRC and Guangdong Engineering Center of
Information Security for Intelligent Manufacturing System, Foshan,
China (e-mail: dr.xbang@qq.com; xbwang@fosu.edu.cn).
[PDF]
Cite: Xingbo Wang and Hongqiang Guo, "Distribution of RSA Number’s Divisor on T3 Tree," International Journal of Information and Electronics Engineering vol. 9, no. 1, pp. 23-29, 2019.
