科研之友
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摘要
A set of lines in R-n is called equiangular if the angle between each pair of lines is the same. We derive new upper bounds on the cardinality of equiangular lines. Let us denote the maximum cardinality of equiangular lines in Rn with the common angle arccos alpha by M-alpha(n). We prove that M-1/alpha(n) <= 1/2(a(2) - 2)(a(2) - 1) for any n is an element of N in the interval a(2) - 2 <= n <= 3a(2) - 16 and a >= 3. Moreover, we discuss the relation between equiangular lines and spherical two-distance sets and we obtain the new results on the maximum spherical two-distance sets in R-n up to n <= 417.
- 出版日期2017
