MinT - Information on Result #796974

Information on Result #796974

Digital (46, 72, 252)-net over F₅, using trace code for nets based on digital (10, 36, 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 (46, 71, 252)-net over F₅	[i]		m-Reduction
2	Digital (46, 70, 252)-net over F₅	[i]
3	Digital (46, 69, 252)-net over F₅	[i]
4	Digital (46, 68, 252)-net over F₅	[i]
5	Digital (46, 67, 252)-net over F₅	[i]
6	Digital (46, 66, 252)-net over F₅	[i]
7	Digital (46, 65, 252)-net over F₅	[i]
8	Digital (46, 64, 252)-net over F₅	[i]
9	Digital (59, 85, 258)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
10	Digital (60, 86, 262)-net over F₅	[i]
11	Digital (61, 87, 264)-net over F₅	[i]
12	Digital (62, 88, 268)-net over F₅	[i]
13	Digital (63, 89, 270)-net over F₅	[i]
14	Digital (72, 98, 304)-net over F₅	[i]
15	Digital (74, 100, 306)-net over F₅	[i]
16	Digital (90, 116, 460)-net over F₅	[i]
17	Digital (92, 118, 504)-net over F₅	[i]
18	Linear OOA(5⁷², 252, F₅, 2, 26) (dual of [(252, 2), 432, 27]-NRT-code)	[i]		Extracting Embedded OOA
19	Linear OOA(5⁷², 252, F₅, 3, 26) (dual of [(252, 3), 684, 27]-NRT-code)	[i]		Extracting Embedded OOA