MinT - Information on Result #797312

Information on Result #797312

Digital (82, 144, 252)-net over F₅, using trace code for nets based on digital (10, 72, 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 (82, 143, 252)-net over F₅	[i]		m-Reduction
2	Digital (82, 142, 252)-net over F₅	[i]
3	Digital (82, 141, 252)-net over F₅	[i]
4	Digital (82, 140, 252)-net over F₅	[i]
5	Digital (82, 139, 252)-net over F₅	[i]
6	Digital (82, 138, 252)-net over F₅	[i]
7	Digital (82, 137, 252)-net over F₅	[i]
8	Digital (82, 136, 252)-net over F₅	[i]
9	Digital (82, 135, 252)-net over F₅	[i]
10	Digital (82, 134, 252)-net over F₅	[i]
11	Digital (82, 133, 252)-net over F₅	[i]
12	Digital (82, 132, 252)-net over F₅	[i]
13	Digital (82, 131, 252)-net over F₅	[i]
14	Digital (82, 130, 252)-net over F₅	[i]
15	Digital (82, 129, 252)-net over F₅	[i]
16	Digital (82, 128, 252)-net over F₅	[i]
17	Digital (82, 127, 252)-net over F₅	[i]
18	Linear OOA(5¹⁴⁴, 252, F₅, 2, 62) (dual of [(252, 2), 360, 63]-NRT-code)	[i]		Extracting Embedded OOA
19	Linear OOA(5¹⁴⁴, 252, F₅, 3, 62) (dual of [(252, 3), 612, 63]-NRT-code)	[i]		Extracting Embedded OOA