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Refining the search space of Alltop monomials

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  • معلومة اضافية
    • بيانات النشر:
      Springer
    • الموضوع:
      2023
    • Collection:
      Queensland University of Technology: QUT ePrints
    • نبذة مختصرة :
      Alltop functions have applications to code-division multiple access (CDMA) systems and mutually unbiased bases (MUBs). Alltop functions construct MUBs and CDMA signal sets, and this motivates the continued search for further Alltop functions. The discovery of further Alltop functions is hindered by the computational complexity of verification. This paper narrows the search space through the introduction of a characteristic cubic polynomial and provides a verification process for Alltop monomials with a reduced computational complexity. Computational results lead to the conjecture that there are no further Alltop monomials.
    • File Description:
      application/pdf
    • Relation:
      https://eprints.qut.edu.au/236333/8/s10801_022_01187_2.pdf; Price, Aiden, Hall, Joanne, & Bartlett, Harry (2023) Refining the search space of Alltop monomials. Journal of Algebraic Combinatorics, 57(3), pp. 709-725.; https://eprints.qut.edu.au/236333/; Centre for Data Science; Faculty of Science; School of Mathematical Sciences
    • الدخول الالكتروني :
      https://eprints.qut.edu.au/236333/
    • Rights:
      free_to_read ; http://creativecommons.org/licenses/by/4.0/ ; 2022 The Authors ; This work is covered by copyright. Unless the document is being made available under a Creative Commons Licence, you must assume that re-use is limited to personal use and that permission from the copyright owner must be obtained for all other uses. If the document is available under a Creative Commons License (or other specified license) then refer to the Licence for details of permitted re-use. It is a condition of access that users recognise and abide by the legal requirements associated with these rights. If you believe that this work infringes copyright please provide details by email to qut.copyright@qut.edu.au
    • الرقم المعرف:
      edsbas.8AF3FAE6