MinT - Information on Result #1229488

Information on Result #1229488

Digital (16, 27, 60)-net over F₅, using generalized (u,Â u+v)-construction based on

digital (1, 4, 20)-net over F₅, using
- s-reduction based on digital (1, 4, 26)-net over F₅, using
  - net defined by OOA [i] based on linear OOA(5⁴, 26, F₅, 3, 3) (dual of [(26, 3), 74, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(5⁴, 26, F₅, 2, 3) (dual of [(26, 2), 48, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(5⁴, 26, F₅, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
        ovoid in PG(3,Â 5) [i]
digital (2, 7, 20)-net over F₅, using
- s-reduction based on digital (2, 7, 21)-net over F₅, using
  - linear code embedding found in a computer search [i]
digital (5, 16, 20)-net over F₅, using
- net from sequence [i] based on digital (5, 19)-sequence over F₅, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₅ with g(F) = 5 and N(F) ≥ 20, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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None.