MinT - Information on Result #1179033

Information on Result #1179033

Digital (4, 7, 4224)-net over F₈, using net defined by OOA based on linear OOA(8⁷, 4224, F₈, 3, 3) (dual of [(4224, 3), 12665, 4]-NRT-code), using

appending kth column [i] based on linear OOA(8⁷, 4224, F₈, 2, 3) (dual of [(4224, 2), 8441, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8⁷, 4224, F₈, 3) (dual of [4224, 4217, 4]-code or 4224-cap in PG(6,8)), using
  - product of two caps with tangent hyperplane [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Digital (43, 49, 5596626)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (117, 128, 6715140)-net over F₈	[i]	Generalized (u,Â u+v)-Construction for Nets
3	Digital (110, 120, 6715140)-net over F₈	[i]
4	Digital (116, 127, 6715131)-net over F₈	[i]
5	Digital (117, 128, 6715195)-net over F₈	[i]
6	Digital (109, 119, 6715131)-net over F₈	[i]
7	Digital (110, 120, 6715195)-net over F₈	[i]
8	Digital (115, 126, 6715122)-net over F₈	[i]
9	Digital (116, 127, 6715186)-net over F₈	[i]
10	Digital (108, 118, 6715122)-net over F₈	[i]
11	Digital (109, 119, 6715186)-net over F₈	[i]
12	Digital (145, 158, 5600464)-net over F₈	[i]
13	Digital (138, 150, 5600464)-net over F₈	[i]
14	Digital (113, 124, 6715113)-net over F₈	[i]
15	Digital (114, 125, 6715177)-net over F₈	[i]
16	Digital (115, 126, 6715689)-net over F₈	[i]
17	Digital (106, 116, 6715113)-net over F₈	[i]
18	Digital (107, 117, 6715177)-net over F₈	[i]
19	Digital (108, 118, 6715689)-net over F₈	[i]
20	Digital (111, 122, 6715104)-net over F₈	[i]
21	Digital (104, 114, 6715104)-net over F₈	[i]