Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, October 18, 2016, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Felix Dräxler

Spherical Codes in Euclidean Space

A set of unit vectors in Euclidean space is called a spherical L-code if the inner product of every pair of unit vectors lies in L. If L consists of an interval of the form [-1,-b] together with a single positive value a, how large can a spherical L-code be in n dimensions? We will discuss the history of the problem and prove that there can be no more than 2(1+a/b)n + o(n) many vectors in such a set.

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