Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 21 min ago
PreprintarXiv licencearXiv

A Quaternary Legendre Pair of Length 64

  • Harshit Verma
Open at sourcePDFDOICite

Abstract

We construct an explicit quaternary Legendre pair of length $64$. To the best of our knowledge, this is the first reported construction at this length.

Related

  1. Quaternary Legendre Pairs of Lengths 42, 46, 52, 58, 66, 72, and 80
    Nikita Lebedev
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsarXiv
  2. Multiplier obstructions for Legendre pairs of length 333
    Arthur F. Ramos, David B. Hulak, Ruy J. G. B. de Queiroz
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
  3. Digital Consequences of Legendre’s Formula for Factorial Valuations
    Armend Sh. Shabani
    Discrete Mathematics LettersPeer-reviewedCC BYFull textAlgebra & number theoryDOAJ
  4. Dual Gauss--Legendre polynomials
    Paweł Woźny
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv
  5. A Proof of the Common Root Conjecture for Legendre Polynomials
    Zikang Deng
    arXivPreprintarXiv licenceFull textGeneral mathematicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{verma2026quaternary,
  title = {{A Quaternary Legendre Pair of Length 64}},
  author = {Harshit Verma},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25573},
  eprint = {2609.25573},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25573},
}
RIS
TY  - UNPB
TI  - A Quaternary Legendre Pair of Length 64
AU  - Harshit Verma
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.25573
UR  - https://arxiv.org/abs/2609.25573
AB  - We construct an explicit quaternary Legendre pair of length $64$. To the best of our knowledge, this is the first reported construction at this length.
ER  -