MinT - Information on Result #1179055

Information on Result #1179055

Digital (1, 4, 4097)-net over F₆₄, using net defined by OOA based on linear OOA(64⁴, 4097, F₆₄, 3, 3) (dual of [(4097, 3), 12287, 4]-NRT-code), using

appending kth column [i] based on linear OOA(64⁴, 4097, F₆₄, 2, 3) (dual of [(4097, 2), 8190, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(64⁴, 4097, F₆₄, 3) (dual of [4097, 4093, 4]-code or 4097-cap in PG(3,64)), using
  - ovoid in PG(3,Â 64) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Digital (14, 20, 91479)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
2	Digital (19, 25, 2800298)-net over F₆₄	[i]
3	Digital (16, 23, 91479)-net over F₆₄	[i]
4	Digital (46, 55, 4210688)-net over F₆₄	[i]	Generalized (u,Â u+v)-Construction for Nets
5	Digital (76, 90, 2400839)-net over F₆₄	[i]
6	Digital (76, 89, 4198462)-net over F₆₄	[i]
7	Digital (77, 90, 4202494)-net over F₆₄	[i]
8	Digital (73, 85, 4198462)-net over F₆₄	[i]
9	Digital (74, 86, 4202494)-net over F₆₄	[i]
10	Digital (44, 53, 4198527)-net over F₆₄	[i]
11	Digital (45, 54, 4206591)-net over F₆₄	[i]
12	Digital (74, 88, 2400774)-net over F₆₄	[i]
13	Digital (75, 89, 2400840)-net over F₆₄	[i]
14	Digital (76, 90, 2404999)-net over F₆₄	[i]
15	Digital (74, 87, 4198397)-net over F₆₄	[i]
16	Digital (71, 83, 4198397)-net over F₆₄	[i]
17	Digital (53, 64, 3359602)-net over F₆₄	[i]
18	Digital (50, 60, 3359602)-net over F₆₄	[i]
19	Digital (43, 52, 4198462)-net over F₆₄	[i]
20	Digital (44, 53, 4202494)-net over F₆₄	[i]
21	Digital (51, 62, 3359537)-net over F₆₄	[i]
22	Digital (48, 58, 3359537)-net over F₆₄	[i]
23	Digital (41, 50, 4198397)-net over F₆₄	[i]