MinT - Information on Result #1179025

Information on Result #1179025

Digital (7, 10, 122500)-net over F₇, using net defined by OOA based on linear OOA(7¹⁰, 122500, F₇, 3, 3) (dual of [(122500, 3), 367490, 4]-NRT-code), using

appending kth column [i] based on linear OOA(7¹⁰, 122500, F₇, 2, 3) (dual of [(122500, 2), 244990, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7¹⁰, 122500, F₇, 3) (dual of [122500, 122490, 4]-code or 122500-cap in PG(9,7)), using
  - product of projective cap with cap in AG(6,Â 7) [i] based on linear OA(7⁴, 50, F₇, 3) (dual of [50, 46, 4]-code or 50-cap in PG(3,7)), using
    - ovoid in PG(3,Â 7) [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 (53, 60, 3965702)-net over F₇	[i]	(u,Â u+v)-Construction for Nets
2	Digital (94, 103, 5887312)-net over F₇	[i]	Generalized (u,Â u+v)-Construction for Nets
3	Digital (92, 101, 5887304)-net over F₇	[i]	Generalized (u,Â u+v)-Construction for Nets