MinT - Information on Result #1179035

Information on Result #1179035

Digital (6, 9, 45174)-net over F₈, using net defined by OOA based on linear OOA(8⁹, 45174, F₈, 3, 3) (dual of [(45174, 3), 135513, 4]-NRT-code), using

appending kth column [i] based on linear OOA(8⁹, 45174, F₈, 2, 3) (dual of [(45174, 2), 90339, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8⁹, 45174, F₈, 3) (dual of [45174, 45165, 4]-code or 45174-cap in PG(8,8)), using
  - product of two caps with tangent hyperplane [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		This result only	Method
1	Digital (45, 51, 5637576)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (118, 129, 6756081)-net over F₈	[i]		Generalized (u,Â u+v)-Construction for Nets
3	Digital (111, 121, 6756081)-net over F₈	[i]
4	Digital (117, 128, 6756072)-net over F₈	[i]
5	Digital (118, 129, 6756136)-net over F₈	[i]
6	Digital (110, 120, 6756072)-net over F₈	[i]
7	Digital (111, 121, 6756136)-net over F₈	[i]
8	Digital (115, 126, 6756063)-net over F₈	[i]
9	Digital (116, 127, 6756127)-net over F₈	[i]
10	Digital (117, 128, 6756639)-net over F₈	[i]
11	Digital (108, 118, 6756063)-net over F₈	[i]
12	Digital (109, 119, 6756127)-net over F₈	[i]
13	Digital (110, 120, 6756639)-net over F₈	[i]
14	Digital (113, 124, 6756054)-net over F₈	[i]
15	Digital (106, 116, 6756054)-net over F₈	[i]