MinT - Information on Result #1179047

Information on Result #1179047

Digital (8, 11, 1411830)-net over F₉, using net defined by OOA based on linear OOA(9¹¹, 1411830, F₉, 3, 3) (dual of [(1411830, 3), 4235479, 4]-NRT-code), using

appending kth column [i] based on linear OOA(9¹¹, 1411830, F₉, 2, 3) (dual of [(1411830, 2), 2823649, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9¹¹, 1411830, F₉, 3) (dual of [1411830, 1411819, 4]-code or 1411830-cap in PG(10,9)), using
  - product of projective cap with cap in AG(4,Â 9) [i] based on linear OA(9⁷, 6723, F₉, 3) (dual of [6723, 6716, 4]-code or 6723-cap in PG(6,9)), 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		Method
1	Digital (47, 53, 7004232)-net over F₉	[i]	(u,Â u+v)-Construction for Nets
2	Digital (112, 123, 6815735)-net over F₉	[i]	Generalized (u,Â u+v)-Construction for Nets
3	Digital (113, 124, large)-net over F₉	[i]
4	Digital (106, 116, 6815727)-net over F₉	[i]
5	Digital (107, 117, large)-net over F₉	[i]
6	Digital (112, 123, 7652760)-net over F₉	[i]
7	Digital (106, 116, 7652744)-net over F₉	[i]
8	Digital (111, 122, 7158757)-net over F₉	[i]
9	Digital (104, 114, 7158757)-net over F₉	[i]