Search Results - "Cusick, Thomas W."

Cryptographic Boolean Functions and Applications by Cusick, Thomas W, Stanica, Pantelimon

“…Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all…”
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Weight Recursions for Any Rotation Symmetric Boolean Functions by Cusick, Thomas W.

“…Let <inline-formula> <tex-math notation="LaTeX">f_{n}(x_{1}, x_{2}, \ldots, x_{n}) </tex-math></inline-formula> denote the algebraic normal form (polynomial…”
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Simpler proof for nonlinearity of majority function by Cusick, Thomas W.

“…Given a Boolean function f, the (Hamming) weight wt(f) and the nonlinearity N(f) are well known to be important in designing functions that are useful in…”
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Affine equivalence of monomial rotation symmetric Boolean functions: A Pólya’s theorem approach by Cusick Thomas W., Lakshmy K. V., Sethumadhavan M.

“…Two Boolean functions are affine equivalent if one can be obtained from the other by applying an affine transformation to the input variables. For a long time,…”
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Theory of 3-rotation symmetric cubic Boolean functions by Cusick Thomas W., Cheon Younhwan

“…Rotation symmetric Boolean functions have been extensively studied in the last 15 years or so because of their importance in cryptography and coding theory…”
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Affine equivalence of cubic homogeneous rotation symmetric functions by Cusick, Thomas W.

“…Homogeneous rotation symmetric Boolean functions have been extensively studied in recent years because of their applications in cryptography. Little is known…”
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Affine equivalence for quadratic rotation symmetric Boolean functions by Chirvasitu, Alexandru, Cusick, Thomas W.

“…Let f n ( x 0 , x 1 , … , x n - 1 ) denote the algebraic normal form (polynomial form) of a rotation symmetric (RS) Boolean function of degree d in n ≥ d…”
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On a conjecture for balanced symmetric Boolean functions by Cusick Thomas W., Li Yuan, Stănică Pantelimon

“…We give some results towards the conjecture that are the only nonlinear balanced elementary symmetric polynomials over GF(2), where t and are any positive…”
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Permutation equivalence of cubic rotation symmetric Boolean functions by Cusick, Thomas W.

“…Rotation symmetric Boolean functions have been extensively studied for about 15 years because of their applications in cryptography and coding theory. Until…”
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Theory of 2-rotation symmetric cubic Boolean functions by Cusick, Thomas W., Johns, Bryan

“…A Boolean function in n variables is 2 - rotation symmetric if it is invariant under even powers of the cyclic permutation ρ ( x 1 , … , x n ) = ( x 2 , … , x…”
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A recursive formula for weights of Boolean rotation symmetric functions by Cusick, Thomas W., Padgett, Dan

“…For the last dozen years or so, there has been much research on the applications of rotation symmetric Boolean functions with n variables in cryptography. In…”
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Balanced Symmetric Functions Over GF(p) by CUSICK, Thomas W, YUAN LI, STANICA, Pantelimon

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Counting rotation symmetric functions using Polya’s theorem by K.V., Lakshmy, Sethumadhavan, M., Cusick, Thomas W.

“…Homogeneous rotation symmetric (invariant under cyclic permutation of the variables) Boolean functions have been extensively studied in recent years due to…”
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Sum of digits sequences modulo m by Cusick, Thomas W., Ciungu, Lavinia Corina

“…Let s k ( n ) denote the sum of the digits of the base k representation of n . Define the sequence (or word) t k , m = s k ( n ) ( mod m ) n ≥ 0 , which…”
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Recursive weights for some Boolean functions by Brown Alyssa, Cusick Thomas W.

“…This paper studies degree 3 Boolean functions in n variables which are rotation symmetric, that is, invariant under any cyclic shift of the indices of the…”
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Using easy coefficients conjecture for rotation symmetric Boolean functions by Cusick, Thomas W.

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A refinement of Cusick–Cheon bound for the second order binary Reed–Muller code by Cusick, Thomas W., Borissov, Yuri L.

“…We prove a stronger form of the conjectured Cusick–Cheon lower bound for the number of quadratic balanced Boolean functions. We also prove various asymptotic…”
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Fast evaluation, weights and nonlinearity of rotation-symmetric functions by Cusick, Thomas W., Stănică, Pantelimon

“…We study the nonlinearity and the weight of the rotation-symmetric ( RotS) functions defined by Pieprzyk and Qu. We give exact results for the nonlinearity and…”
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Quadratic rotation symmetric Boolean functions by Chirvasitu, Alexandru, Cusick, Thomas W.

“…Let (0,a1,…,ad−1)n denote the function fn(x0,x1,…,xn−1) of degree d in n variables generated by the monomial x0xa1⋯xad−1 and having the property that fn is…”
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Weights for short quartic Boolean functions by Cusick, Thomas W., Cheon, Younhwan

“…A Boolean function in n variables is 2-rotation symmetric if it is invariant under even powers of ρ(x1,…,xn)=(x2,…,xn,x1), but not under the first power…”
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