MinT - Information on Result #1179036

Information on Result #1179036

Digital (7, 10, 270400)-net over F₈, using net defined by OOA based on linear OOA(8¹⁰, 270400, F₈, 3, 3) (dual of [(270400, 3), 811190, 4]-NRT-code), using

appending kth column [i] based on linear OOA(8¹⁰, 270400, F₈, 2, 3) (dual of [(270400, 2), 540790, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8¹⁰, 270400, F₈, 3) (dual of [270400, 270390, 4]-code or 270400-cap in PG(9,8)), using
  - product of projective cap with cap in AG(6,Â 8) [i] based on linear OA(8⁴, 65, F₈, 3) (dual of [65, 61, 4]-code or 65-cap in PG(3,8)), using
    - ovoid in PG(3,Â 8) [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 (46, 52, 5862802)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (118, 129, 6981298)-net over F₈	[i]	Generalized (u,Â u+v)-Construction for Nets
3	Digital (111, 121, 6981298)-net over F₈	[i]
4	Digital (116, 127, 6981289)-net over F₈	[i]
5	Digital (117, 128, 6981353)-net over F₈	[i]
6	Digital (118, 129, 6981865)-net over F₈	[i]
7	Digital (109, 119, 6981289)-net over F₈	[i]
8	Digital (110, 120, 6981353)-net over F₈	[i]
9	Digital (111, 121, 6981865)-net over F₈	[i]
10	Digital (114, 125, 6981280)-net over F₈	[i]
11	Digital (107, 117, 6981280)-net over F₈	[i]