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A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces

Publication ,  Journal Article
Calderbank, AR; Harbin, RH; Rains, EM; Shor, PW; Sloane, NJA
Published in: Journal of Algebraic Combinatorics
January 1, 1999
Published version (DOI)

By using totally isotropic subspaces in an orthogonal space Ω+(2i, 2), several infinite families of packings of 2k-dimensional subspaces of real 2i -dimensional space are constructed, some of which are shown to be optimal packings. A certain Clifford group underlies the construction and links this problem with Barnes-Wall lattices, Kerdock sets and quantum-error-correcting codes.

Duke Scholars

Robert Calderbank
Author Robert Calderbank Computer Science

Published In

Journal of Algebraic Combinatorics

DOI

10.1023/A:1018673825179

ISSN

0925-9899

Publication Date

January 1, 1999

Volume

9

Issue

2

Start / End Page

129 / 140

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Calderbank, A. R., Harbin, R. H., Rains, E. M., Shor, P. W., & Sloane, N. J. A. (1999). A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces. Journal of Algebraic Combinatorics, 9(2), 129–140. https://doi.org/10.1023/A:1018673825179
Calderbank, A. R., R. H. Harbin, E. M. Rains, P. W. Shor, and N. J. A. Sloane. “A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces.” Journal of Algebraic Combinatorics 9, no. 2 (January 1, 1999): 129–40. https://doi.org/10.1023/A:1018673825179.
Calderbank AR, Harbin RH, Rains EM, Shor PW, Sloane NJA. A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces. Journal of Algebraic Combinatorics. 1999 Jan 1;9(2):129–40.
Calderbank, A. R., et al. “A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces.” Journal of Algebraic Combinatorics, vol. 9, no. 2, Jan. 1999, pp. 129–40. Scopus, doi:10.1023/A:1018673825179.
Calderbank AR, Harbin RH, Rains EM, Shor PW, Sloane NJA. A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces. Journal of Algebraic Combinatorics. 1999 Jan 1;9(2):129–140.
Journal cover image

Published In

Journal of Algebraic Combinatorics

DOI

10.1023/A:1018673825179

ISSN

0925-9899

Publication Date

January 1, 1999

Volume

9

Issue

2

Start / End Page

129 / 140

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics