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Polynomial-time construction of spherical codes

  • Gilles Lachaud
  • Jacques Stern
Submitted Contributions
Part of the Lecture Notes in Computer Science book series (LNCS, volume 539)

Abstract

We give a simple lower bound for the dimensions of the families of polynomially constructible spherical codes of given minimal angle ϕ, deduced from the analog of the Katsman-Tsfasman-VlĂdut bound for linear codes. In particular the supremum τpol of the numbers log2 CardX/ dim X, where X ranges over all polynomially constructible families of spherical codes with ϕ≥π/3, is such that τpol≥2/15.

Keywords

Prime Number Information Transmission Linear Code Minimal Angle Polynomial Complexity 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Gilles Lachaud
    • 1
  • Jacques Stern
    • 2
  1. 1.Équipe Arithmétique et Théorie de l'InformationC.I.R.M.Marseille cedex 9France
  2. 2.Équipe de LogiqueUniversité Paris 7 & D.M.I., École Normale SupérieureParis cedex 05

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