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    KCI등재

    ON A CHARACTERIZATION OF T-FUNCTIONS WITH ONE CYCLE PROPERTY

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    https://www.riss.kr/link?id=A103660344

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

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    한국어
    To the design of secret key, there are two types of basic approaches called the tame approach and the wild approach. In the tame approach we try to use only simple primitives such as linear feedback shift registers and to prove mathematical theorems about their cryptographic properties. In the wild approach we try to use crazy compositions of operations which mix a variety of domains in a nonlinear and nonalgebraic way. There are several papers which try to bridge this gap by considering semi-wild constructions. A T-function on n-bit words plays an important role in semi-wild constructions. In this paper we study the invertibility and the period of some T-functions. Especially we characterize some polynomials which has a single cycle property.
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    To the design of secret key, there are two types of basic approaches called the tame approach and the wild approach. In the tame approach we try to use only simple primitives such as linear feedback shift registers and to prove mathematical theorems a...

    To the design of secret key, there are two types of basic approaches called the tame approach and the wild approach. In the tame approach we try to use only simple primitives such as linear feedback shift registers and to prove mathematical theorems about their cryptographic properties. In the wild approach we try to use crazy compositions of operations which mix a variety of domains in a nonlinear and nonalgebraic way. There are several papers which try to bridge this gap by considering semi-wild constructions. A T-function on n-bit words plays an important role in semi-wild constructions. In this paper we study the invertibility and the period of some T-functions. Especially we characterize some polynomials which has a single cycle property.

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    목차 (Table of Contents)

    • 1. Introduction
    • 2. Basic definitions and results
    • 3. Length of cycles in some functions
    • References
    • 1. Introduction
    • 2. Basic definitions and results
    • 3. Length of cycles in some functions
    • References
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