[Authors] V. N. Malozemov and A. V. Korovkin [Title] Ahmed-Rao bases [AMS Subj-class] 42C10 Fourier series in special orthogonal functions [Abstract] Given $N=2^s$, in a space of discrete $N$-periodic complex-valued functions of an integer argument we construct $s$ orthogonal bases with the following property: elements of the $r$-th basis (where $r\in\{1,\dots,s\}$) take $2^r$ values equally spaced on a unit circle of complex plane. [Comments] LaTeX, Russian, 8 pp. [Contact e-mail] malv@gamma.math.spbu.ru