English

Identification based on random coding

Information Theory 2022-07-08 v1 math.IT

Abstract

Ahlswede and Dueck showed possibility to identify with high probability one out of MM messages by transmitting 1/CloglogM1/C\log\log M bits only, where CC is the channel capacity. It is known that this identification can be based on error-correcting codes. We propose an identification procedure based on random codes that achieves channel capacity. Then we show that this procedure can be simplified using pseudo-random generators.

Keywords

Cite

@article{arxiv.2207.03413,
  title  = {Identification based on random coding},
  author = {Vladimir R. Sidorenko and Christian Deppe},
  journal= {arXiv preprint arXiv:2207.03413},
  year   = {2022}
}
R2 v1 2026-06-24T12:17:32.133Z