On the existence of binary $\mathrm{C}$-codes of length $N = 32$ with a predetermined value of PAPR of Walsh–Hadamard spectrum

The spectral classification of sequences of length $N = 32$ in accordance with the structure and the value of the PAPR (Peak-to-Average Power Ratio) of Walsh–Hadamard spectrum resulting in $40$ different spectral sets was performed. The maximal achievable cardinality of $\mathrm{C}$-codes with a predetermined value of PAPR was calculated. Taking into account the interconnection between PAPR value of the Walsh–Hadamard spectrum and nonlinearity distance of binary sequence of length $N = 32$, the cardinalities of classes of sequences with a determined value of nonlinearity distance were found.