caa a22 4500 475741056 CHVBK 20180406123459.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1007/BF02676721 doi (NATIONALLICENCE)springer-10.1007/BF02676721 Estimates of the maximal value of angular code distance for 24 and 25 points on the unit sphere in ℝ4 [Elektronische Daten] [V. Arestov, A. Babenko] The present paper is devoted to the well-known problem of determining the maximum number of elementsτ m (s) of a sphericals-code (−1<-s<1) in Euclidean space ℝ m of dimensionm>-2; to be exact, here we consider the Delsarte functionw m (s) related toτ m (s) via the inequalityτ m (s) ≤w m (s). In this paper, the solution of the equationw m (s)=N is obtained form=4 andN=24,25. As a consequence, we obtain the assertion that among any 25 (24) points on the unit sphere in the space ℝ4 there always exist two points with angular distance between them strictly less than 60.5° (61.41°). Kluwer Academic/Plenum Publishers, 2000 spherical code nationallicence spherical packings nationallicence kissing numbers nationallicence Delsarte function nationallicence Chebyshev polynomials of the second kind nationallicence Gegenbauer polynomials nationallicence Arestov V. Ural State University, Ekaterinburg aut Babenko A. Division of the Russian Academy of Sciences, Institute of Mathematics and Mechanics, Ekaterinburg aut Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/4(2000-10-01), 419-435 0001-4346 68:4<419 2000 68 11006 https://doi.org/10.1007/BF02676721 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02676721 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Arestov V. Ural State University, Ekaterinburg aut NATIONALLICENCE 700 1- Babenko A. Division of the Russian Academy of Sciences, Institute of Mathematics and Mechanics, Ekaterinburg aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/4(2000-10-01), 419-435 0001-4346 68:4<419 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer