基于完全組的一類相關(guān)免疫函數(shù)
A CLASS CORRELATION IMMUNITY FUNCTION BASED ON COMPLETE SET
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摘要: 本文利用一種稱為完全組的向量組構(gòu)造了一類二級(jí)遍歷矩陣,利用它的一個(gè)部分組構(gòu)造了一類三級(jí)遍歷矩陣。進(jìn)而給出了相應(yīng)的二階和三階相關(guān)免疫函數(shù)。文中還對(duì)所構(gòu)造的二級(jí)和三級(jí)遍歷矩陣論證了它們列向量的不可添加性。
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關(guān)鍵詞:
- 相關(guān)免疫; 布爾函數(shù); 構(gòu)造
Abstract: In this paper, the vectors set called complete set is presented. A class of second order ergodic matrix is constructed by using the complete set, and a class of third order ergodic matrix is also constructed by using the partial set of complete set. On the basis mentioned above, the corresponding Boolean functions with second order and with third order correlation immunities are given. The paper also proves that the additional column vector is not allowed for both second order and third order ergodic matrices so constructed. -
Siegenthaler T. Correlation-immunity of nonlinear combining function for cryptographic applica-[2]tions. IEEE Trans. on Inform. Theory. 1998, 30(5): 776-780.[3]揚(yáng)應(yīng)弼.一類二階相關(guān)免疫布爾函數(shù).電子學(xué)報(bào),1995, 23(12), 38-42.[4]單煒娟.相關(guān)免疫函數(shù)的結(jié)構(gòu)與構(gòu)造.應(yīng)用數(shù)學(xué)學(xué)報(bào),1991, 14(3): 331-336. -
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