m階相關(guān)免疫函數(shù)的計(jì)數(shù)問題
THE ENUMERATION OF CORRELATION-IMMUNE BOOLEAN FUNCTIONS OF m-ORDER
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摘要: 主要討論m階相關(guān)免疫函數(shù)的構(gòu)造和計(jì)數(shù)問題,并給出了m階相關(guān)免疫函數(shù)個(gè)數(shù)的一個(gè)新的下界和一些特殊情況下的精確值。
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關(guān)鍵詞:
- 相關(guān)免疫; 流密碼; 正交矩陣; 布爾函數(shù)
Abstract: Construction and enumeration of correlation-immune Boolean functions of m-order are discussed in this paper and the formula of lower bounds given by the authors (1997) formerly is improved greatly. -
溫巧燕,肖國鎮(zhèn).m階相關(guān)免疫函數(shù)的構(gòu)造與計(jì)數(shù).西安電子科技大學(xué)學(xué)報(bào),1997,24(1):36-39.[2]Mitchell C. Enumerating Boolean functions of cryptographic significance. J of Crytology, 1990, 2(3): 155-170.[3]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, 161-173.[4]楊義先,胡正名.用于序列密碼的布爾函數(shù)計(jì)數(shù)問題.通信學(xué)報(bào),1992, 13(4): 18-24.[5]楊義先.相關(guān)免疫布爾函數(shù)的計(jì)數(shù).電子科學(xué)學(xué)刊,1993, 15(2): 140-146.[6]王建宇.線性結(jié)構(gòu)函數(shù)與一階相關(guān)免疫函數(shù)的計(jì)數(shù).通信學(xué)報(bào),1996,17(1): 87-91. -
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