MinT - Information on Result #1179586

Information on Result #1179586

Digital (3, 6, 4626)-net over F₁₆, using net defined by OOA based on linear OOA(16⁶, 4626, F₁₆, 3, 3) (dual of [(4626, 3), 13872, 4]-NRT-code), using

appending kth column [i] based on linear OOA(16⁶, 4626, F₁₆, 2, 3) (dual of [(4626, 2), 9246, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(16⁶, 4626, F₁₆, 3) (dual of [4626, 4620, 4]-code or 4626-cap in PG(5,16)), 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 (32, 38, 5597028)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
2	Digital (37, 44, 5597026)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
3	Digital (84, 95, 6715523)-net over F₁₆	[i]		Generalized (u,Â u+v)-Construction for Nets
4	Digital (79, 89, 6715523)-net over F₁₆	[i]
5	Digital (82, 93, 6715506)-net over F₁₆	[i]
6	Digital (77, 87, 6715506)-net over F₁₆	[i]