{
  "abstract": "Vehicle-to-everything (V2X) sidelink and uplink broadcast must deliver safety-critical and application-layer data reliably under fast time-varying fading, intermittent packet erasures, and exposure to passive eavesdroppers. Fixed-rate physical-layer codes are poorly matched to these conditions because link quality and the number of successfully received symbols vary across vehicles and over time. This paper proposes a unified vehicular communication framework that combines rateless Construction-D' Raptor lattices, nested-lattice physical-layer security (PLS) with direct-sequence spread spectrum (DSSS), and blockchain-assisted trust management for decode-and-forward (DF) cooperative relaying. At the physical layer, Raptor codes provide incremental redundancy over unreliable V2X links; multilevel lattice decoding enables power-efficient joint coding and modulation; nested shaping and spread spectrum limit fine-lattice recovery by eavesdroppers; and a distributed ledger records decoding success at relays to support reputation-aware relay selection. We model the vehicular air interface as a block-Rayleigh fading channel with additive Gaussian noise and random symbol erasures, representative of urban V2X sidelink behavior. The proposed code concatenates Luby-transform (LT) codes with quasi-cyclic low-density parity-check (QC-LDPC) precodes within Construction-D', with girth-4 cycle removal on the Tanner graph. AWGN benchmarks show competitive symbol error rate (SER) and improved frame error rate (FER) versus matched-length LDPC and LDLC lattices. Under block-Rayleigh fading with erasures, for n=995 at average VNR of 1.5 dB and erasure probability 0.15, rateless Raptor reception achieves 0.3% outage with about 2.3 packets on average, outperforming LDLC and LDPC under identical channels, while an eavesdropper with 8 dB combined SNR and spreading loss fails in 62% of sessions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02605",
  "author_total": 4,
  "authors": [
    {
      "name": "Pegah Sharifi"
    },
    {
      "name": "Hassan Khodaiemehr"
    },
    {
      "name": "Khadijeh Bagheri"
    },
    {
      "name": "Chen Feng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d903gnpe4cgcc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02605",
  "fulltext_url": null,
  "id": "d903gnpe4cgcc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.02605",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "2208|Vehicular Ad Hoc Networks (VANETs)"
    ]
  ],
  "openalex": "W7220416437",
  "pdf_url": "https://arxiv.org/pdf/2610.02605",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d903gnpe4cgcc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2610.02605",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02605"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Rateless Nested Lattice Codes for Secure Cooperative V2X Broadcast over Fading and Erasure Channels",
  "title_text": "Rateless Nested Lattice Codes for Secure Cooperative V2X Broadcast over Fading and Erasure Channels",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/d903gnpe4cgcc",
  "venue": "arXiv",
  "versions": []
}