Abstract:
The notion of a reconstructive set of the Boolean cube is introduced in terms of Fourier transform. The characterization of linear reconstructive sets is obtained. Necessary and sufficient conditions of the reconstructivity of a sphere are established. Sufficient conditions of the reconstructivity of two concentric spheres are found. Bibliogr. 9.
Keywords:Fourier transform, reconstructive set, linear subspace, Krawtchouk polynomial, Johnson scheme.