{
  "abstract": "Identification differs from classical transmission in that the receiver determines whether a particular identity was sent rather than recovering a message. We study secure deterministic identification over state-dependent discrete memoryless wiretap channels with private noiseless feedback and a sensing distortion constraint. The encoder has no local randomness and uses only the identity and past feedback. A symbol-wise input restriction guarantees the sensing constraint. We show that the secure deterministic identification capacity equals its non-secure feedback counterpart when the admissible main channel has positive ordinary transmission capacity and H(Y|Z,X=x)>0 for some fixed admissible input x. This equality does not require positive classical wiretap secrecy capacity. For achievability, noiseless feedback generates common randomness for identification and enables secret-key extraction by privacy amplification. The extracted key one-time-pad encrypts a short identification tag, whose reliable transmission requires only a sublinear number of additional channel uses. We also present an alternative construction in which feedback-generated randomness replaces the local randomization of a stochastic wiretap encoder. We further prove that secure identification capacity vanishes whenever non-secure identification capacity is zero. We also identify a class of channels with input-independent wiretapper observations that achieves full non-secure identification capacity even when the private conditional feedback entropy is zero, illustrated by a binary state-dependent wiretap channel. Thus, feedback can support both identification and secrecy without local encoder randomization while satisfying sensing constraints.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41646",
  "author_total": 5,
  "authors": [
    {
      "name": "Vida Gholamian"
    },
    {
      "name": "Yaning Zhao"
    },
    {
      "name": "Christian Deppe"
    },
    {
      "name": "Holger Boche"
    },
    {
      "name": "Rafael F. Schaefer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/66bhvcj8xyq7t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41646",
  "fulltext_url": null,
  "id": "66bhvcj8xyq7t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41646",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41646",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/66bhvcj8xyq7t.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41646",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41646"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Secure Deterministic Identification with Feedback and Sensing over State-Dependent Wiretap Channels",
  "title_text": "Secure Deterministic Identification with Feedback and Sensing over State-Dependent Wiretap Channels",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/66bhvcj8xyq7t",
  "venue": "arXiv",
  "versions": []
}