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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 networks, 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 $(\mathbb{Z}_2)^n$ generated by some elements in $(\mathbb{Z}_2)^{n-1}$.
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참고문헌 (7)
참고문헌 신청
A. Kilmov / 2005 / Applications of T-functions in Cryptography
A. Kilmov / 2003 / A New Class of Invertible Mappings / LNCS 2523:470~483
A. Kilmov / 2004 / Cryptographic Applications of T-functions / LNCS 3006:248~261
A. Kilmov / 2004 / New Cryptographic Primitives Based on Multiword T-Functions / LNCS 3017:1~15
A. Kilmov / 2005 / New Applications of T-functions in Block Ciphers and Hash Functions / LNCS 3557:18~31
A. Kilmov / 2003 / A New Class of Invertible Mappings / LNCS 2523:470~483
A. Kilmov / 2004 / Cryptographic Applications of T-functions / LNCS 3006:248~261
A. Kilmov / 2004 / New Cryptographic Primitives Based on Multiword T-Functions / LNCS 3017:1~15
A. Kilmov / 2005 / New Applications of T-functions in Block Ciphers and Hash Functions / LNCS 3557:18~31
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