학술저널
ON A T-FUNCTION f(x) = x + h(x) WITH A SINGLE CYCLE ON Z2n
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 24, No. 4
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2011.11927 - 934 (8 pages)
- 2
Invertible transformations over n-bit words are essen-tial ingredients in many cryptographic constructions. When n is large (e.g., n = 64) such invertible transformations are usually rep-resented as a composition of simpler operations such as linear func-tions, S-P networks, Feistel structures and T-functions. Among them we study T-functions which are probably invertible and are very useful in stream ciphers. In this paper we study some condi- tions on a T-function h(x) such that f(x) = x + h(x) has a single cycle on Z2n.
1. Introduction
2. Even parameters and T-functions with a single cycle
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