MinT - Information on Result #1229489

Information on Result #1229489

Digital (25, 36, 144)-net over F₅, using generalized (u,Â u+v)-construction based on

digital (2, 5, 46)-net over F₅, using
- s-reduction based on digital (2, 5, 66)-net over F₅, using
  - net defined by OOA [i] based on linear OOA(5⁵, 66, F₅, 3, 3) (dual of [(66, 3), 193, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(5⁵, 66, F₅, 2, 3) (dual of [(66, 2), 127, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(5⁵, 66, F₅, 3) (dual of [66, 61, 4]-code or 66-cap in PG(4,5)), using
        caps completed using a computer search [i]
digital (4, 9, 46)-net over F₅, using
- linear code embedding found in a computer search [i]
digital (11, 22, 52)-net over F₅, using
- trace code for nets [i] based on digital (0, 11, 26)-net over F₂₅, using
  - net from sequence [i] based on digital (0, 25)-sequence over F₂₅, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using
      - the rational function field F₂₅(x) [i]
    - Niederreiter sequence [i]

Mode: Constructive and linear.

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None.