MinT - Information on Result #1179074

Information on Result #1179074

Digital (2, 5, 49156)-net over F₁₂₈, using net defined by OOA based on linear OOA(128⁵, 49156, F₁₂₈, 3, 3) (dual of [(49156, 3), 147463, 4]-NRT-code), using

appending kth column [i] based on linear OOA(128⁵, 49156, F₁₂₈, 2, 3) (dual of [(49156, 2), 98307, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(128⁵, 49156, F₁₂₈, 3) (dual of [49156, 49151, 4]-code or 49156-cap in PG(4,128)), 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		This result only	Method
1	Digital (20, 26, 2845357)-net over F₁₂₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (17, 24, 748207)-net over F₁₂₈	[i]		(u,Â u+v)-Construction for Nets
3	Digital (50, 61, 3516325)-net over F₁₂₈	[i]		Generalized (u,Â u+v)-Construction for Nets
4	Digital (51, 62, 4548581)-net over F₁₂₈	[i]
5	Digital (52, 63, 7032516)-net over F₁₂₈	[i]
6	Digital (47, 57, 3516326)-net over F₁₂₈	[i]
7	Digital (48, 58, 4548582)-net over F₁₂₈	[i]
8	Digital (49, 59, 7032518)-net over F₁₂₈	[i]
9	Digital (40, 49, 7242232)-net over F₁₂₈	[i]
10	Digital (25, 32, 6941863)-net over F₁₂₈	[i]
11	Digital (22, 28, 6941863)-net over F₁₂₈	[i]