MinT - Information on Result #1179060

Information on Result #1179060

Digital (2, 5, 16318)-net over F₈₁, using net defined by OOA based on linear OOA(81⁵, 16318, F₈₁, 3, 3) (dual of [(16318, 3), 48949, 4]-NRT-code), using

appending kth column [i] based on linear OOA(81⁵, 16318, F₈₁, 2, 3) (dual of [(16318, 2), 32631, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(81⁵, 16318, F₈₁, 3) (dual of [16318, 16313, 4]-code or 16318-cap in PG(4,81)), using
  - large caps in PG(4,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		Method
1	Digital (20, 26, 2812519)-net over F₈₁	[i]	(u,Â u+v)-Construction for Nets
2	Digital (52, 63, 3371758)-net over F₈₁	[i]	Generalized (u,Â u+v)-Construction for Nets
3	Digital (49, 59, 3371758)-net over F₈₁	[i]	Generalized (u,Â u+v)-Construction for Nets