The autocorrelation properties of single cycle polynomial T-functions |
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Authors: | SenPeng Wang Bin Hu Yan Liu |
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Institution: | 1.Zhengzhou Information Science and Technology Institute,Zhengzhou,China |
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Abstract: | T-functions have been widely used in the design of symmetric ciphers, hash functions, and fast cryptographic primitives. Single cycle polynomial T-functions are a special category. If they are used as state transition functions of stream ciphers, the security of the generated sequences is crucial. In 2008, Kolokotronis proposed a conjecture regarding the autocorrelation function’s values of coordinate sequences generated by single cycle polynomial T-functions. In this paper, we show that the conjecture does not hold in general and prove the conditions under which it holds. |
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