{
  "abstract": "We study an analogue of a classical arithmetic problem over the ring of polynomials. We prove that m = 5 is the minimal number such that the sums of any two distinct polynomials in a set of m polynomials over F 2 [x] cannot all be of the form x k (x + 1) ℓ .",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Luis H Gallardo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0hr25hswjtc11.bib",
  "cited_by": 0,
  "doi": "10.21857/y26kecdqk9",
  "fulltext_url": null,
  "id": "0hr25hswjtc11",
  "issns": [
    "1845-4100",
    "1845-4100"
  ],
  "landing_url": "https://univ-brest.hal.science/hal-05775059v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "1702|Coding theory and cryptography"
    ]
  ],
  "openalex": "W7128628498",
  "pdf_url": "https://univ-brest.hal.science/hal-05775059/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0hr25hswjtc11.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:46Z",
      "native_id": "hal-05775059",
      "source": "hal",
      "url": "https://univ-brest.hal.science/hal-05775059v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Splitting sums of binary polynomials",
  "title_text": "Splitting sums of binary polynomials",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:46Z",
  "url": "https://research.draconitic.com/paper/0hr25hswjtc11",
  "venue": "Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti",
  "versions": []
}