2009
Optimality and uniqueness of the (4,10,1/6) spherical code
Publication
Publication
Journal of Combinatorial Theory - Series A , Volume 116 - Issue 1 p. 195- 204
Linear programming bounds provide an elegant method to prove optimality and uniqueness of an (n,N,t) spherical code. However, this method does not apply to the parameters (4,10,1/6). We use semidefinite programming bounds instead to show that the Petersen code, which consists of the midpoints of the edges of the regular simplex in dimension 4, is the unique (4,10,1/6) spherical code.
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| Academic Press | |
| Journal of Combinatorial Theory - Series A | |
| Organisation | Networks and Optimization |
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Bachoc, C., & Vallentin, F. (2009). Optimality and uniqueness of the (4,10,1/6) spherical code. Journal of Combinatorial Theory - Series A, 116(1), 195–204. |
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