MinT - Information on Result #1229523

Information on Result #1229523

Digital (10, 17, 75)-net over F₅, using generalized (u,Â u+v)-construction based on

digital (1, 3, 25)-net over F₅, using
- s-reduction based on digital (1, 3, 31)-net over F₅, using
  - kÂ =Â 2 construction [i]
digital (1, 4, 25)-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 (3, 10, 25)-net over F₅, using
- linear code embedding found in a computer search [i]

Mode: Constructive and linear.

None.

The following results depend on this result: