MinT - Information on Result #1214358

Information on Result #1214358

Digital (5, 12, 26)-net over F₇, using (u,Â u+v)-construction based on

digital (1, 4, 50)-net over F₇, using
- net defined by OOA [i] based on linear OOA(7⁴, 50, F₇, 3, 3) (dual of [(50, 3), 146, 4]-NRT-code), using
  - appending kth column [i] based on linear OOA(7⁴, 50, F₇, 2, 3) (dual of [(50, 2), 96, 4]-NRT-code), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7⁴, 50, F₇, 3) (dual of [50, 46, 4]-code or 50-cap in PG(3,7)), using
      - ovoid in PG(3,Â 7) [i]
digital (1, 8, 13)-net over F₇, using
- 5 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
  - a shift-net [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Digital (26, 40, 126)-net over F₇	[i]	(u,Â u+v)-Construction for Nets
2	Digital (27, 42, 126)-net over F₇	[i]	(u,Â u+v)-Construction for Nets
3	Digital (57, 80, 226)-net over F₇	[i]	Generalized (u,Â u+v)-Construction for Nets
4	Digital (56, 78, 226)-net over F₇	[i]	Generalized (u,Â u+v)-Construction for Nets