155 citations · 182 across the 3 of their papers we have counts for
3 papers
math.CO2006
Bounds for codes in products of spaces, Grassmann and Stiefel manifolds
Christine Bachoc, Yael Ben-Haim, Simon Litsyn
Upper bounds are derived for codes in Stiefel and Grassmann manifolds with given minimal chordal distance. They stem from upper bounds for codes in products of unit spheres and pro…
math.MG2006★ 27 cited
Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps
Christine Bachoc, Frank Vallentin
We apply the semidefinite programming approach developed in arxiv:math.MG/0608426 to obtain new upper bounds for codes in spherical caps. We compute new upper bounds for the one-si…
math.MG2006★ 155 cited
New upper bounds for kissing numbers from semidefinite programming
Christine Bachoc, Frank Vallentin
Recently A. Schrijver derived new upper bounds for binary codes using semidefinite programming. In this paper we adapt this approach to codes on the unit sphere and we compute new…