MinT - Information on Result #1179087

Information on Result #1179087

Digital (1, 4, 65537)-net over F₂₅₆, using net defined by OOA based on linear OOA(256⁴, 65537, F₂₅₆, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using

appending kth column [i] based on linear OOA(256⁴, 65537, F₂₅₆, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁴, 65537, F₂₅₆, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using
  - ovoid in PG(3,Â 256) [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 (55, 67, 6968830)-net over F₂₅₆	[i]		Generalized (u,Â u+v)-Construction for Nets
2	Digital (56, 68, 6969085)-net over F₂₅₆	[i]
3	Digital (34, 45, 3355648)-net over F₂₅₆	[i]
4	Digital (36, 47, 3355904)-net over F₂₅₆	[i]
5	Digital (40, 51, 6710784)-net over F₂₅₆	[i]
6	Digital (41, 52, large)-net over F₂₅₆	[i]
7	Digital (32, 42, 3355648)-net over F₂₅₆	[i]
8	Digital (34, 44, 3355904)-net over F₂₅₆	[i]
9	Digital (38, 48, 6710784)-net over F₂₅₆	[i]
10	Digital (39, 49, large)-net over F₂₅₆	[i]
11	Digital (26, 35, 4194304)-net over F₂₅₆	[i]
12	Digital (27, 36, 4194560)-net over F₂₅₆	[i]
13	Digital (30, 39, 4260096)-net over F₂₅₆	[i]
14	Digital (32, 41, large)-net over F₂₅₆	[i]
15	Digital (54, 67, 4259837)-net over F₂₅₆	[i]
16	Digital (52, 64, 4259837)-net over F₂₅₆	[i]
17	Digital (37, 48, 3420977)-net over F₂₅₆	[i]
18	Digital (35, 45, 3420977)-net over F₂₅₆	[i]