MinT - Information on Result #1179073

Information on Result #1179073

Digital (1, 4, 16385)-net over F₁₂₈, using net defined by OOA based on linear OOA(128⁴, 16385, F₁₂₈, 3, 3) (dual of [(16385, 3), 49151, 4]-NRT-code), using

appending kth column [i] based on linear OOA(128⁴, 16385, F₁₂₈, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(128⁴, 16385, F₁₂₈, 3) (dual of [16385, 16381, 4]-code or 16385-cap in PG(3,128)), using
  - ovoid in PG(3,Â 128) [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 (14, 20, 715436)-net over F₁₂₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (19, 25, 2812586)-net over F₁₂₈	[i]
3	Digital (16, 23, 715436)-net over F₁₂₈	[i]
4	(5, 12, 514)-net in base 128	[i]
5	Digital (63, 75, 2812587)-net over F₁₂₈	[i]		Generalized (u,Â u+v)-Construction for Nets