MinT - Information on Result #1229353

Information on Result #1229353

Digital (13, 20, 80)-net over F₄, using generalized (u,Â u+v)-construction based on

digital (0, 1, 20)-net over F₄, using
- s-reduction based on digital (0, 1, s)-net over F₄ for arbitrarily large s, using
  - construction for strength kÂ =Â 1 [i]
digital (1, 3, 20)-net over F₄, using
- s-reduction based on digital (1, 3, 21)-net over F₄, using
  - kÂ =Â 2 construction [i]
digital (2, 5, 20)-net over F₄, using
- s-reduction based on digital (2, 5, 41)-net over F₄, using
  - net defined by OOA [i] based on linear OOA(4⁵, 41, F₄, 3, 3) (dual of [(41, 3), 118, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(4⁵, 41, F₄, 2, 3) (dual of [(41, 2), 77, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4⁵, 41, F₄, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
        a cap found by Tallinii [i]
digital (4, 11, 20)-net over F₄, using
- linear code embedding found in a computer search [i]

Mode: Constructive and linear.

None.

The following results depend on this result: