Armario Sampalo, José Andrés2021-02-032021-02-032021-01-17Armario Sampalo, J.A. (2021). Boolean Functions and Permanents of Sylvester Hadamard Matrices. Mathematics, 9 (2), 177-1-177-8.2227-7390https://hdl.handle.net/11441/104546One of the fastest known general techniques for computing permanents is Ryser’s formula. On this note, we show that this formula over Sylvester Hadamard matrices of order 2m, Hm, can be carried out by enumerating m-variable Boolean functions with an arbitrary Walsh spectrum. As a consequence, the quotient per(Hm)/22m might be a measure of the “density” of m-variable Boolean functions with high nonlinearity.application/pdf8 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/permanentSylvester Hadamard matricesRyser’s formulaBoolean functionsWalsh spectrumhigh nonlinearityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.3390/math9020177