{
  "abstract": "Determining the cross-correlation distributions between $m$-sequences and their decimated sequences is an important problem in sequence design. For two positive integers $n$ and $k$ with $n=2k$, this paper investigates the cross-correlation function between a binary $m$-sequence $\\{u(t)\\}$ of period $2^{n}-1$ and its $2^{\\gcd(s,k)}+1$ short-period decimated sequences $\\{u(dt+l)\\}$, where the decimation $d=\\frac{2^s}{2^s+1}(2^k-1)+1$ satisfies $1<s<n$ and $v_2(s)>v_2(k)$. The cross-correlation function is proved to be four-valued and its value distribution is completely determined. Several previously known binary cross-correlation functions are included in our result as special cases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34010",
  "author_total": 5,
  "authors": [
    {
      "name": "Yao Yao"
    },
    {
      "name": "Yufei Wang"
    },
    {
      "name": "Yongbo Xia"
    },
    {
      "name": "Nian Li"
    },
    {
      "name": "Xiangyong Zeng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b6vjspwmdj9g0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34010",
  "fulltext_url": null,
  "id": "b6vjspwmdj9g0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34010",
  "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/2610.34010",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b6vjspwmdj9g0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34010",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34010"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "A class of Niho type four-valued cross-correlation functions between sequences of different periods",
  "title_text": "A class of Niho type four-valued cross-correlation functions between sequences of different periods",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/b6vjspwmdj9g0",
  "venue": "arXiv",
  "versions": []
}