MinT - Information on Result #1179034

Information on Result #1179034

Digital (5, 8, 13520)-net over F₈, using net defined by OOA based on linear OOA(8⁸, 13520, F₈, 3, 3) (dual of [(13520, 3), 40552, 4]-NRT-code), using

appending kth column [i] based on linear OOA(8⁸, 13520, F₈, 2, 3) (dual of [(13520, 2), 27032, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8⁸, 13520, F₈, 3) (dual of [13520, 13512, 4]-code or 13520-cap in PG(7,8)), using
  - product of projective cap with cap in AG(4,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.

None.

The following results depend on this result:

	Result		Method
1	Digital (44, 50, 5605922)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (118, 129, 6724436)-net over F₈	[i]	Generalized (u,Â u+v)-Construction for Nets
3	Digital (111, 121, 6724436)-net over F₈	[i]
4	Digital (117, 128, 6724427)-net over F₈	[i]
5	Digital (118, 129, 6724491)-net over F₈	[i]
6	Digital (110, 120, 6724427)-net over F₈	[i]
7	Digital (111, 121, 6724491)-net over F₈	[i]
8	Digital (116, 127, 6724418)-net over F₈	[i]
9	Digital (117, 128, 6724482)-net over F₈	[i]
10	Digital (109, 119, 6724418)-net over F₈	[i]
11	Digital (110, 120, 6724482)-net over F₈	[i]
12	Digital (114, 125, 6724409)-net over F₈	[i]
13	Digital (115, 126, 6724473)-net over F₈	[i]
14	Digital (116, 127, 6724985)-net over F₈	[i]
15	Digital (107, 117, 6724409)-net over F₈	[i]
16	Digital (108, 118, 6724473)-net over F₈	[i]
17	Digital (109, 119, 6724985)-net over F₈	[i]
18	Digital (112, 123, 6724400)-net over F₈	[i]
19	Digital (105, 115, 6724400)-net over F₈	[i]