MinT - Information on Result #797172

Information on Result #797172

Digital (68, 116, 252)-net over F₅, using trace code for nets based on digital (10, 58, 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 (68, 115, 252)-net over F₅	[i]		m-Reduction
2	Digital (68, 114, 252)-net over F₅	[i]
3	Digital (68, 113, 252)-net over F₅	[i]
4	Digital (68, 112, 252)-net over F₅	[i]
5	Digital (68, 111, 252)-net over F₅	[i]
6	Digital (68, 110, 252)-net over F₅	[i]
7	Digital (68, 109, 252)-net over F₅	[i]
8	Digital (68, 108, 252)-net over F₅	[i]
9	Digital (68, 107, 252)-net over F₅	[i]
10	Digital (68, 106, 252)-net over F₅	[i]
11	Digital (68, 105, 252)-net over F₅	[i]
12	Digital (68, 104, 252)-net over F₅	[i]
13	Digital (68, 103, 252)-net over F₅	[i]
14	Digital (68, 102, 252)-net over F₅	[i]
15	Digital (68, 101, 252)-net over F₅	[i]
16	Linear OOA(5¹¹⁶, 252, F₅, 2, 48) (dual of [(252, 2), 388, 49]-NRT-code)	[i]		Extracting Embedded OOA
17	Linear OOA(5¹¹⁶, 252, F₅, 3, 48) (dual of [(252, 3), 640, 49]-NRT-code)	[i]		Extracting Embedded OOA