MinT - Information on Result #1179061

Information on Result #1179061

Digital (3, 6, 538248)-net over F₈₁, using net defined by OOA based on linear OOA(81⁶, 538248, F₈₁, 3, 3) (dual of [(538248, 3), 1614738, 4]-NRT-code), using

appending kth column [i] based on linear OOA(81⁶, 538248, F₈₁, 2, 3) (dual of [(538248, 2), 1076490, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(81⁶, 538248, F₈₁, 3) (dual of [538248, 538242, 4]-code or 538248-cap in PG(5,81)), using
  - large caps in PG(5,Â b) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (21, 27, 3334449)-net over F₈₁	[i]		(u,Â u+v)-Construction for Nets
2	Digital (68, 80, 7174494)-net over F₈₁	[i]		Generalized (u,Â u+v)-Construction for Nets
3	Digital (70, 82, 7174575)-net over F₈₁	[i]
4	Digital (53, 64, large)-net over F₈₁	[i]
5	Digital (50, 60, large)-net over F₈₁	[i]
6	Digital (41, 50, large)-net over F₈₁	[i]
7	Digital (26, 33, large)-net over F₈₁	[i]
8	Digital (23, 29, large)-net over F₈₁	[i]