[PDF] Top 20 On the Immunity of Rotation Symmetric Boolean Functions Against Fast Algebraic Attacks
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On the Immunity of Rotation Symmetric Boolean Functions Against Fast Algebraic Attacks
... years, algebraic and fast algebraic attacks [1, 4, 5] have been regarded as a great threat against LFSR-based stream ...These attacks cleverly use over-defined systems of ... See full document
12
On the Resistance of Prime-variable Rotation Symmetric Boolean Functions against Fast Algebraic Attacks
... Boolean functions play a vital role in coding theory and in symmetric cryptography ...desirable Boolean functions have been proposed. Boolean functions used in stream ... See full document
14
Almost Perfect Algebraic Immune Functions with Good Nonlinearity
... of Boolean functions, ...behavior against fast algebraic attacks, but in previous literature only Carlet-Feng function (see [10,4]), which is affine equivalent to discrete ... See full document
18
On the Existence of Boolean Functions with Optimal Resistance against Fast Algebraic Attacks
... resistance against FAA’s if and only if deg(f g) ≥ n − e holds for any nonzero n-variable Boolean function g of degree not more than e and 1 ≤ e ≤ ⌈ n 2 ⌉ − ...the algebraic degree of Boolean ... See full document
10
Modifying Boolean Functions to Ensure Maximum Algebraic Immunity
... the functions obtained via the aforementioned modification have maximum algebraic immunity, whereas the cases of odd and even number of variables are treated ...maximum algebraic ... See full document
10
Characterizations on Algebraic Immunity for Multi-Output Boolean Functions
... Algebraic attacks are kinds of efficient methods on stream ciphers which adapt LFSR-based keystream generators with nonlinear filter generator or the combiner as one of their ...in algebraic ... See full document
14
On Algebraic Immunity of Trace Inverse Functions over Finite Fields with Characteristic Two
... is algebraic attacks and fast algebraic attacks presented by ...[13]. Algebraic attacks and fast algebraic attacks are very powerful analysis tools ... See full document
8
On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees
... Boolean functions that are invariant under the action of cyclic rotation on the inputs are called rotation symmetric functions ...of Boolean functions is of great ... See full document
11
Perfect Algebraic Immune Functions
... Carlet-Feng functions were first presented in [13] and further studied by ...Such functions have maximum algebraic immunity and good ...the functions also have good behavior ... See full document
16
On the (Fast) Algebraic Immunity of Boolean Power Functions
... computing algebraic immunity by using incidence matrices ...the algebraic immunity of inverse functions exactly arrives at the upper bound given by ...inverse functions is ... See full document
10
On second-order nonlinearity and maximum algebraic immunity of some bent functions in $\cP S^+$
... a Boolean function f (the min- imum of Hamming distances of f to all the a ffi ne Boolean functions) is related to the immunity of f against best a ffi ne approximation attacks ... See full document
10
Construction of $n$-variable ($n\equiv 2 \bmod 4$) balanced Boolean functions with maximum absolute value in autocorrelation spectra $
... bent functions [19] possess the highest nonlinearity and all the nonzero values in its autocorrelation spectrum is ...bent functions are not balanced and not generally used directly in the design of ... See full document
13
Powers of Subfield Polynomials and Algebraic Attacks on Word-Based Stream Ciphers
... f is larger than AI (f). But all hope is not lost even if the design employs a Boolean function with optimal algebraic immunity. It was shown in [22], that if there exist polynomials g and h with ... See full document
12
Correlation immunity and resiliency of boolean functions from Haar domain perspective
... of Boolean functions [3, 7, ...cryptographic Boolean functions and their Haar- based characterization; specifically a Haar alternative view of two significant cryptographic criteria is ...of ... See full document
7
A note on generalized bent criteria for Boolean functions
... of Boolean functions with respect to the action of uni- tary transforms obtained by taking tensor products of the Hadamard kernel, denoted by H , and the nega– Hadamard kernel, denoted by ... See full document
6
On the Diffusion Property of Iterated Functions
... potential attacks, such as algebraic attacks [1,5], since one may convert the cipher-text into a system of polynomial equations and solve it di- ...round functions (seen as vectorial ... See full document
15
A Method For Generation Of High-Nonlinear S-Boxes Based On Gradient Descent
... vectorial Boolean functions, extended affine (EA) and Carlet-Charpin-Zinoviev (CCZ) equivalencies [1, ...existent functions have ex- treme characteristics of δ-uniformity and nonlinearity, but at the ... See full document
9
Generalization of Statistical Criteria for Sboxes
... m > 1, then we say that f is a Boolean map or an Sbox. Suppose that A and B are two finite sets with | A | = t | B | , f ∈ F (A, B) and for every b ∈ B we have | f − 1 (b) | = t. In this case, f is called ... See full document
11
Practical approach in evaluating the resistance of stream ciphers against algebraic attacks
... Algebraic attacks on stream cipher are one of the popular cryptanalysis techniques in evaluating the resistances of stream ...from Algebraic Attacks, which named as Fast ... See full document
18
Protecting Obfuscation Against Algebraic Attacks
... evaluation attacks”, where the adversary might try to learn, for example, whether the first k steps of the branching program evaluate to the same permutation regardless of the value of the first bit of ... See full document
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