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Spread Codes from Abelian non-cyclic groups ...

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  • معلومة اضافية
    • بيانات النشر:
      arXiv
    • الموضوع:
      2025
    • Collection:
      DataCite Metadata Store (German National Library of Science and Technology)
    • نبذة مختصرة :
      Given the finite field $\mathbb{F}_{q}$, for a prime power $q$, in this paper we present a way of constructing spreads of $\mathbb{F}_{q}^{n}$. They will arise as orbits under the action of an Abelian non-cyclic group. First, we construct a family of orbit codes of maximum distance using this group, and then we complete each of these codes to achieve a spread of the whole space having an orbital structure. ...
    • الرقم المعرف:
      10.48550/arxiv.2501.16838
    • الدخول الالكتروني :
      https://dx.doi.org/10.48550/arxiv.2501.16838
      https://arxiv.org/abs/2501.16838
    • Rights:
      Creative Commons Zero v1.0 Universal ; https://creativecommons.org/publicdomain/zero/1.0/legalcode ; cc0-1.0
    • الرقم المعرف:
      edsbas.A321271D