Basic Theory in Construction of Boolean Functions with Maximum Possible Annihilator Immunity
نویسندگان
چکیده
منابع مشابه
Basic Theory in Construction of Boolean Functions with Maximum Possible Annihilator Immunity
So far there is no systematic attempt to construct Boolean functions with maximum annihilator immunity. In this paper we present a construction keeping in mind the basic theory of annihilator immunity. This construction provides functions with the maximum possible annihilator immunity and the weight, nonlinearity and algebraic degree of the functions can be properly calculated under certain cas...
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In this paper we present a theoretical construction of Rotation Symmetric Boolean Functions (RSBFs) on odd number of variables with maximum possible AI and further these functions are not symmetric. Our RSBFs are of better nonlinearity than the existing theoretical constructions with maximum possible AI . To get very good nonlinearity, which is important for practical cryptographic design, we g...
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This paper gives a construction method which can get a large class of Boolean functions with maximum algebraic immunity(AI) from one such giving function. Our constructions get more functions than any previous construction. The cryptographic properties, such as balance, algebraic degree etc, of those functions are studied. It shows that we can construct Boolean functions with better cryptograph...
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Algebraic immunity has been proposed as an important property of Boolean functions. To resist algebraic attack, a Boolean function should possess high algebraic immunity. It is well known now that the algebraic immunity of an n-variable Boolean function is upper bounded by ⌈ n 2 ⌉ . In this paper, for an odd integer n, we present a construction method which can efficiently generate a Boolean fu...
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2006
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-005-6300-x