MinT - Information on Result #1179588

Information on Result #1179588

Digital (4, 7, 66048)-net over F₁₆, using net defined by OOA based on linear OOA(16⁷, 66048, F₁₆, 3, 3) (dual of [(66048, 3), 198137, 4]-NRT-code), using

appending kth column [i] based on linear OOA(16⁷, 66048, F₁₆, 2, 3) (dual of [(66048, 2), 132089, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(16⁷, 66048, F₁₆, 3) (dual of [66048, 66041, 4]-code or 66048-cap in PG(6,16)), 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 (33, 39, 5658450)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
2	Digital (38, 45, 5658448)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
3	Digital (83, 94, 6776928)-net over F₁₆	[i]		Generalized (u,Â u+v)-Construction for Nets
4	Digital (78, 88, 6776928)-net over F₁₆	[i]		Generalized (u,Â u+v)-Construction for Nets