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🔗 Source: nyjm.albany.edu
📊 Size: 200 KB
👤 Author: Uniqueness of the (22
⬇️ Downloads: 50

Summary

Henry Cohn and Abhinav Kumar prove the uniqueness of the (22, 891, 1/4) spherical code using techniques developed by Bannai and Sloane. A spherical code is a set of points on a unit sphere with certain properties, and this particular code is optimal. The authors also correct a minor error in Bannai and Sloane's proof for the (23, 4600, 1/3) code. The (22, 891, 1/4) code can be constructed from the Leech lattice or a 6-dimensional Hermitian space over F4. The proof involves showing that the code must have a specific combinatorial structure, which leads to uniqueness. The authors use linear programming bounds and properties of spherical designs to establish the uniqueness of the code.

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Description

Henry Cohn and Abhinav Kumar prove the uniqueness of the (22, 891, 1/4) spherical code using techniques developed by Bannai and Sloane.

Technical Information

  • File Format: PDF
  • File Size: 200 KB
  • Pages: 11
  • Language: EN
  • Author: Uniqueness of the (22
  • Total Downloads: 50
  • Last Updated: 3 weeks ago

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