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This paper is devoted to the study of the properties of entropy as a functionof the Hurst index, which corresponds to the fractional Gaussian noise. Sincethe entropy of the Gaussian vector depends on the determinant of the covariancematrix, and the behavior of this determinant as a function of the Hurst indexis rather difficult to study analytically at high dimensions, we also considersimple alternative entropy functionals, whose behavior, on the one hand, mimicsthe behavior of entropy and, on the other hand, is not difficult to study.Asymptotic behavior of the normalized entropy (so called entropy rate) is alsostudied for the entropy and for the alternative functionals.

Entropy and alternative entropy functionals of fractional Gaussian noise as the functions of Hurst index