Designs in Grassmannian Spaces and Lattices

By C. Bachoc, R. Coulangeon, Gabriele Nebe. 2002

53 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0a02c02cab28637357512b7aaf3e3ea86b6c6ecb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Henry Cohn
2. Abhinav Kumar
3. Claude Pache
4. Pierre de la Harpe
5. Salvatore Torquato
6. Frank H. Stillinger

In Electrical and Electronic Engineering

1. Abhinav Kumar
2. Gregory T. Minton
3. Henry Cohn
4. Claude Pache
5. Pierre de la Harpe

In Numerical Analysis

1. Henry Cohn
2. Abhinav Kumar
3. Gregory T. Minton
4. Claude Pache
5. Pierre de la Harpe
6. Salvatore Torquato
7. Frank H. Stillinger
8. Maryna S. Viazovska

Citations in the corpus

• Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators (2005, methodology): “For designs in G/H a Grassmannian, see [ 8 ] and [6].”
• Optimal simplices and codes in projective spaces (2013, background): “Analogously to simplices in projective space, a Grassmannian simplex is tight if and only if it is a 1–design (a 2–design in the terminology of [7]), which holds if and only if the linear programming bound is sharp [5].”