MinT - Information on Result #1207813

Information on Result #1207813

Digital (12, 19, 54)-net over F₃, using (u,Â u+v)-construction based on

digital (2, 5, 20)-net over F₃, using
- net defined by OOA [i] based on linear OOA(3⁵, 20, F₃, 3, 3) (dual of [(20, 3), 55, 4]-NRT-code), using
  - appending kth column [i] based on linear OOA(3⁵, 20, F₃, 2, 3) (dual of [(20, 2), 35, 4]-NRT-code), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁵, 20, F₃, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
      - doubling the cap [i] based on linear OA(3⁴, 10, F₃, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
        ovoid in PG(3,Â 3) [i]
digital (7, 14, 34)-net over F₃, using
- linear code embedding found in a computer search [i]

Mode: Constructive and linear.

None.

The following results depend on this result: