Page 1 Balanced and constant functions as seen by Hadamard 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 1 1 1 1 = 4 0 0 0 Matrix M Vector V Vector S This is number of minterms “0” in the function This is measure of correlation with other rows of M Constant 0 Ones in map encoded by “-1”, zeros by “1” Page 2 Balanced and constant functions as seen by Hadamard 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 1 1 1 1 = 4 0 0 0 Matrix M Vector V Vector S This is number of minterms “0” in the function This is measure of correlation with other rows of M Constant 0 Ones in map encoded by “-1”, zeros by “1” Balanced and constant functions as seen by Hadamard 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 -1 -1 -1 -1 = - 4 0 0 0 Matrix M Vector V Vector S This is number of minterms “1” in the function This is measure of correlation with other rows of M Constant 1 Page 3 Balanced and constant functions as seen by Hadamard 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 1 1 1 1 = 4 0 0 0 Matrix M Vector V Vector S This is number of minterms “0” in the function This is measure of correlation with other rows of M Constant 0 Ones in map encoded by “-1”, zeros by “1” Balanced and constant functions as seen by Hadamard 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 -1 -1 -1 -1 = - 4 0 0 0 Matrix M Vector V Vector S This is number of minterms “1” in the function This is measure of correlation with other rows of M Constant 1 Balanced and constant functions as seen by Hadamard 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 1 -1 1 -1 = 0 4 0 0 Matrix M Vector V Vector S balanced This means we have half “1” and half “0s” Page 4 Balanced and constant functions as seen by Hadamard 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 1 1 1 1 = 4 0 0 0 Matrix M Vector V Vector S This is number of minterms “0” in the function This is measure of correlation with other rows of M Constant 0 Ones in map encoded by “-1”, zeros by “1” Balanced and constant functions as seen by Hadamard 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 -1 -1 -1 -1 = - 4 0 0 0 Matrix M Vector V Vector S This is number of minterms “1” in the function This is measure of correlation with other rows of M Constant 1 Balanced and constant functions as seen by Hadamard 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 1 -1 1 -1 = 0 4 0 0 Matrix M Vector V Vector S balanced This means we have half “1” and half “0s” Local patterns for Affine functions 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 00 01 11 10 00 01 11 10 ab cd a ? b ? c ?d ?1Read More

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