English

Code spectrum and reliability function: Gaussian channel

Information Theory 2007-07-13 v1 math.IT

Abstract

A new approach for upper bounding the channel reliability function using the code spectrum is described. It allows to treat both low and high rate cases in a unified way. In particular, the earlier known upper bounds are improved, and a new derivation of the sphere-packing bound is presented.

Keywords

Cite

@article{arxiv.0706.0682,
  title  = {Code spectrum and reliability function: Gaussian channel},
  author = {Marat V. Burnashev},
  journal= {arXiv preprint arXiv:0706.0682},
  year   = {2007}
}
R2 v1 2026-06-21T08:35:24.344Z