English

Identification Under the Semantic Effective Secrecy Constraint

Information Theory 2025-02-27 v1 math.IT

Abstract

The problem of identification over a discrete memoryless wiretap channel is examined under the criterion of semantic effective secrecy. This secrecy criterion guarantees both the requirement of semantic secrecy and of stealthy communication. Additionally, we introduce the related problem of combining approximation-of-output statistics and transmission. We derive a capacity theorem for approximation-of-output statistics transmission codes. For a general model, we present lower and upper bounds on the capacity, showing that these bounds are tight for more capable wiretap channels. We also provide illustrative examples for more capable wiretap channels, along with examples of wiretap channel classes where a gap exists between the lower and upper bounds.

Keywords

Cite

@article{arxiv.2502.19142,
  title  = {Identification Under the Semantic Effective Secrecy Constraint},
  author = {Abdalla Ibrahim and Johannes Rosenberger and Boulat A. Bash and Christian Deppe and Roberto Ferrara and Uzi Pereg},
  journal= {arXiv preprint arXiv:2502.19142},
  year   = {2025}
}
R2 v1 2026-06-28T21:58:42.495Z