Determination of One Kind of Single Cycle T-Functions

LIU Zhuojun;DAI Zhaopeng(;);WU Baofeng(;)

Journal of Systems Science and Mathematical Sciences ›› 2010, Vol. 30 ›› Issue (11) : 1540-1547.

PDF(331 KB)
中国科学院数学与系统科学研究院期刊网
PDF(331 KB)
Journal of Systems Science and Mathematical Sciences ›› 2010, Vol. 30 ›› Issue (11) : 1540-1547. DOI: 10.12341/jssms09425
论文

Determination of One Kind of Single Cycle T-Functions

  • LIU Zhuojun(1), DAI Zhaopeng(1,2), WU Baofeng(1,2)
Author information +
History +

Abstract

Polynomial functions, as one class of T−functions, have numerous applications in cryptography. The invertibility and periodicity are two important problem. In this paper, by use of the multiplication formulae of 2-adic integers, the necessary and
sufficient condition for the generalized polynomial function p(x)=a0⊕a1x⊕⋯⊕adxd(mod2n) to be a single cycle T -functions is obtained.

Key words

T-function / single cycle mapping / polynomial function.

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations
LIU Zhuojun , DAI Zhaopeng( , ) , WU Baofeng( , ). Determination of One Kind of Single Cycle T-Functions. Journal of Systems Science and Mathematical Sciences, 2010, 30(11): 1540-1547 https://doi.org/10.12341/jssms09425
PDF(331 KB)

211

Accesses

0

Citation

Detail
Sections
Recommended

/

〈 〉