MinT - Information on Result #796933

Information on Result #796933

Digital (40, 60, 252)-net over F₅, using trace code for nets based on digital (10, 30, 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 (40, 59, 252)-net over F₅	[i]		m-Reduction
2	Digital (40, 58, 252)-net over F₅	[i]
3	Digital (40, 57, 252)-net over F₅	[i]
4	Digital (40, 56, 252)-net over F₅	[i]
5	Digital (40, 55, 252)-net over F₅	[i]
6	Digital (40, 54, 252)-net over F₅	[i]
7	Digital (50, 70, 258)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
8	Digital (51, 71, 262)-net over F₅	[i]
9	Digital (52, 72, 264)-net over F₅	[i]
10	Digital (53, 73, 268)-net over F₅	[i]
11	Digital (54, 74, 270)-net over F₅	[i]
12	Digital (55, 75, 272)-net over F₅	[i]
13	Digital (56, 76, 273)-net over F₅	[i]
14	Digital (57, 77, 274)-net over F₅	[i]
15	Digital (66, 86, 356)-net over F₅	[i]
16	Digital (68, 88, 384)-net over F₅	[i]
17	Digital (75, 95, 405)-net over F₅	[i]
18	Digital (75, 95, 408)-net over F₅	[i]
19	Linear OOA(5⁶⁰, 252, F₅, 2, 20) (dual of [(252, 2), 444, 21]-NRT-code)	[i]		Extracting Embedded OOA
20	Linear OOA(5⁶⁰, 252, F₅, 3, 20) (dual of [(252, 3), 696, 21]-NRT-code)	[i]		Extracting Embedded OOA