MinT - Information on Result #796946

Information on Result #796946

Digital (42, 64, 252)-net over F₅, using trace code for nets based on digital (10, 32, 126)-net over F₂₅, using

net from sequence [i] based on digital (10, 125)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
  - the Hermitian function field over F₂₅ [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 (42, 63, 252)-net over F₅	[i]		m-Reduction
2	Digital (42, 62, 252)-net over F₅	[i]
3	Digital (42, 61, 252)-net over F₅	[i]
4	Digital (42, 60, 252)-net over F₅	[i]
5	Digital (42, 59, 252)-net over F₅	[i]
6	Digital (42, 58, 252)-net over F₅	[i]
7	Digital (53, 75, 258)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
8	Digital (54, 76, 262)-net over F₅	[i]
9	Digital (55, 77, 264)-net over F₅	[i]
10	Digital (56, 78, 268)-net over F₅	[i]
11	Digital (57, 79, 270)-net over F₅	[i]
12	Digital (58, 80, 272)-net over F₅	[i]
13	Digital (59, 81, 273)-net over F₅	[i]
14	Digital (64, 86, 304)-net over F₅	[i]
15	Digital (66, 88, 306)-net over F₅	[i]
16	Digital (70, 92, 356)-net over F₅	[i]
17	Digital (79, 101, 405)-net over F₅	[i]
18	Digital (80, 102, 424)-net over F₅	[i]
19	Digital (79, 101, 408)-net over F₅	[i]
20	Linear OOA(5⁶⁴, 252, F₅, 2, 22) (dual of [(252, 2), 440, 23]-NRT-code)	[i]		Extracting Embedded OOA
21	Linear OOA(5⁶⁴, 252, F₅, 3, 22) (dual of [(252, 3), 692, 23]-NRT-code)	[i]		Extracting Embedded OOA