학술저널
ON SINGLE CYCLE T-FUNCTIONS GENERATED BY SOME ELEMENTS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 2
-
2015.05331 - 343 (13 pages)
- 2
Invertible transformations over n-bit words are essential ingredients in many cryptographic constructions. When n is large such invertible transformations are usually represented as a composition of simpler operations such as linear functions, S-P net-works, Feistel structures and T-functions. Among them we study T-functions which are probably invertible transformations and are very useful in stream ciphers. In this paper we study the number of single cycle T-functions satisfying some conditions and characterize single cycle T-functions on (Z2 ) n generated by some elements in (Z2) n-¹ .
1. Introduction
2. The number of T-functions
3. Single cycle T-functions generated by some elements
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