MinT - Information on Result #1179048

Information on Result #1179048

Digital (9, 12, 5580100)-net over F₉, using net defined by OOA based on linear OOA(9¹², 5580100, F₉, 3, 3) (dual of [(5580100, 3), 16740288, 4]-NRT-code), using

appending kth column [i] based on linear OOA(9¹², 5580100, F₉, 2, 3) (dual of [(5580100, 2), 11160188, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9¹², 5580100, F₉, 3) (dual of [5580100, 5580088, 4]-code or 5580100-cap in PG(11,9)), using
  - product of projective cap with cap in AG(5,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 (48, 54, large)-net over F₉	[i]	(u,Â u+v)-Construction for Nets
2	Digital (55, 62, large)-net over F₉	[i]	(u,Â u+v)-Construction for Nets
3	Digital (112, 123, 8138414)-net over F₉	[i]	Generalized (u,Â u+v)-Construction for Nets
4	Digital (105, 115, 8138414)-net over F₉	[i]
5	Digital (106, 116, 8138424)-net over F₉	[i]