MinT - Information on Result #1179016

Information on Result #1179016

Digital (11, 14, 1123200)-net over F₅, using net defined by OOA based on linear OOA(5¹⁴, 1123200, F₅, 3, 3) (dual of [(1123200, 3), 3369586, 4]-NRT-code), using

appending kth column [i] based on linear OOA(5¹⁴, 1123200, F₅, 2, 3) (dual of [(1123200, 2), 2246386, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(5¹⁴, 1123200, F₅, 3) (dual of [1123200, 1123186, 4]-code or 1123200-cap in PG(13,5)), using
  - product of two projective caps and an affine cap avoiding two hyperplanes [i] based on
    1. linear OA(5⁴, 26, F₅, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
      - ovoid in PG(3,Â 5) [i]
    2. linear OA(5⁷, 675, F₅, 3) (dual of [675, 668, 4]-code or 675-cap in PG(6,5)), 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 (124, 135, 3630854)-net over F₅	[i]	Generalized (u,Â u+v)-Construction for Nets
2	Digital (128, 139, 4478652)-net over F₅	[i]
3	Digital (129, 140, 4478677)-net over F₅	[i]
4	Digital (130, 141, 4478702)-net over F₅	[i]
5	Digital (130, 141, 4478802)-net over F₅	[i]
6	Digital (140, 150, 7834092)-net over F₅	[i]
7	Digital (122, 133, 3630848)-net over F₅	[i]
8	Digital (123, 134, 3630873)-net over F₅	[i]
9	Digital (124, 135, 3630998)-net over F₅	[i]
10	Digital (126, 137, 4478646)-net over F₅	[i]
11	Digital (127, 138, 4478671)-net over F₅	[i]
12	Digital (128, 139, 4478796)-net over F₅	[i]
13	Digital (138, 148, 7834086)-net over F₅	[i]
14	Digital (139, 149, 7834111)-net over F₅	[i]
15	Digital (140, 150, 7834236)-net over F₅	[i]
16	Digital (120, 131, 3630842)-net over F₅	[i]
17	Digital (121, 132, 3630854)-net over F₅	[i]
18	Digital (122, 133, 3630864)-net over F₅	[i]
19	Digital (123, 134, 3630904)-net over F₅	[i]
20	Digital (124, 135, 4478640)-net over F₅	[i]
21	Digital (136, 146, 7834080)-net over F₅	[i]