MinT - Information on Result #799190

Information on Result #799190

Digital (82, 150, 344)-net over F₉, using trace code for nets based on digital (7, 75, 172)-net over F₈₁, using

net from sequence [i] based on digital (7, 171)-sequence over F₈₁, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 7 and N(F) ≥ 172, using
  - a function field by SÃ©mirat [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 (83, 150, 344)-net over F₉	[i]		t-Expansion
2	Digital (84, 150, 344)-net over F₉	[i]
3	Digital (85, 150, 344)-net over F₉	[i]
4	Digital (86, 150, 344)-net over F₉	[i]
5	Digital (87, 150, 344)-net over F₉	[i]
6	Digital (82, 149, 344)-net over F₉	[i]		m-Reduction
7	Digital (82, 148, 344)-net over F₉	[i]
8	Digital (82, 147, 344)-net over F₉	[i]
9	Digital (82, 146, 344)-net over F₉	[i]
10	Digital (82, 145, 344)-net over F₉	[i]
11	Digital (82, 144, 344)-net over F₉	[i]
12	Digital (82, 143, 344)-net over F₉	[i]
13	Digital (82, 142, 344)-net over F₉	[i]
14	Digital (82, 141, 344)-net over F₉	[i]
15	Digital (82, 140, 344)-net over F₉	[i]
16	Digital (82, 139, 344)-net over F₉	[i]
17	Linear OOA(9¹⁵⁰, 344, F₉, 2, 68) (dual of [(344, 2), 538, 69]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(9¹⁵⁰, 344, F₉, 3, 68) (dual of [(344, 3), 882, 69]-NRT-code)	[i]		Extracting Embedded OOA