多輸出相關(guān)免疫邏輯函數(shù)的等價(jià)刻劃及其應(yīng)用
Equivalent characterization and application of multi-output correlation-immune boolean function
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摘要: 該文對(duì)多輸出邏輯函數(shù)相關(guān)免疫性的兩種刻劃進(jìn)行了討論,在利用Walsh變換理論導(dǎo)出二元隨機(jī)向量概率分布分解式的基礎(chǔ)上,證明了兩種刻劃的等價(jià)性,并利用多輸出相關(guān)免疫邏輯函數(shù)構(gòu)造了一類不具有輸入輸出線性組合符合優(yōu)勢(shì)的密鑰流生成器。Abstract: This paper discusses the characterizations of multi-output correlation-immune functions. We first give a decomposition formula of the probability distribution of binary random vectors by using Walsh transform. Then the equivalence of the two different definitions of multi-output correlation-immune functions is proved. Furthermore, a class of keystream generators is constructed which can resist the linear and correlation attacks.
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丁存生,肖國鎮(zhèn),流密碼學(xué)及其應(yīng)用,北京,國防工業(yè)出版社,1994,169-173.[2]K. Gopalakrishnan, D. R. Stinson, Three charaterizations of non-binary correlation-immune andresilient functions, Designs, Codes and Cryptography, 1995, 5(3), 241-251.[3]陳魯生,多輸出布爾函數(shù)的密碼學(xué)性質(zhì),[博士論文],天津,南開大學(xué),2000. -
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