MinT - Information on Result #1179590

Information on Result #1179590

Digital (5, 8, 161652)-net over F₁₆, using net defined by OOA based on linear OOA(16⁸, 161652, F₁₆, 3, 3) (dual of [(161652, 3), 484948, 4]-NRT-code), using

appending kth column [i] based on linear OOA(16⁸, 161652, F₁₆, 2, 3) (dual of [(161652, 2), 323296, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(16⁸, 161652, F₁₆, 3) (dual of [161652, 161644, 4]-code or 161652-cap in PG(7,16)), using
  - product of two caps with tangent hyperplane [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 (34, 40, 5754054)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
2	Digital (39, 46, 5754052)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
3	Digital (86, 97, 6872549)-net over F₁₆	[i]		Generalized (u,Â u+v)-Construction for Nets
4	Digital (81, 91, 6872549)-net over F₁₆	[i]
5	Digital (84, 95, 6872532)-net over F₁₆	[i]
6	Digital (79, 89, 6872532)-net over F₁₆	[i]