For quadratic rotation-symmetric Boolean functions, balancedness is determined by the 2-adic valuation of the number of variables, and the monomial functions have explicit weight-recursion polynomials.
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Affine equivalence for quadratic rotation symmetric Boolean functions
For quadratic rotation-symmetric Boolean functions, balancedness is determined by the 2-adic valuation of the number of variables, and the monomial functions have explicit weight-recursion polynomials.