MinT - Information on Result #796967

Information on Result #796967

Digital (45, 70, 252)-net over F₅, using trace code for nets based on digital (10, 35, 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 (45, 69, 252)-net over F₅	[i]		m-Reduction
2	Digital (45, 68, 252)-net over F₅	[i]
3	Digital (45, 67, 252)-net over F₅	[i]
4	Digital (45, 66, 252)-net over F₅	[i]
5	Digital (45, 65, 252)-net over F₅	[i]
6	Digital (45, 64, 252)-net over F₅	[i]
7	Digital (45, 63, 252)-net over F₅	[i]
8	Digital (57, 82, 258)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
9	Digital (58, 83, 262)-net over F₅	[i]
10	Digital (59, 84, 264)-net over F₅	[i]
11	Digital (60, 85, 268)-net over F₅	[i]
12	Digital (61, 86, 270)-net over F₅	[i]
13	Digital (62, 87, 272)-net over F₅	[i]
14	Digital (69, 94, 304)-net over F₅	[i]
15	Digital (71, 96, 306)-net over F₅	[i]
16	Digital (87, 112, 460)-net over F₅	[i]
17	Digital (89, 114, 504)-net over F₅	[i]
18	Linear OOA(5⁷⁰, 252, F₅, 2, 25) (dual of [(252, 2), 434, 26]-NRT-code)	[i]		Extracting Embedded OOA
19	Linear OOA(5⁷⁰, 252, F₅, 3, 25) (dual of [(252, 3), 686, 26]-NRT-code)	[i]		Extracting Embedded OOA