MinT - Information on Result #793302

Information on Result #793302

Digital (99, 154, 156)-net over F₃, using trace code for nets based on digital (22, 77, 78)-net over F₉, using

net from sequence [i] based on digital (22, 77)-sequence over F₉, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 22 and N(F) ≥ 78, using
  - F₃ from the tower of function fields by GarcÃa and Stichtenoth over F₉ [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 (99, 153, 156)-net over F₃	[i]		m-Reduction
2	Digital (99, 152, 156)-net over F₃	[i]
3	Digital (99, 151, 156)-net over F₃	[i]
4	Digital (99, 150, 156)-net over F₃	[i]
5	Digital (99, 149, 156)-net over F₃	[i]
6	Digital (99, 148, 156)-net over F₃	[i]
7	Digital (99, 147, 156)-net over F₃	[i]
8	Digital (99, 146, 156)-net over F₃	[i]
9	Digital (99, 145, 156)-net over F₃	[i]
10	Digital (99, 144, 156)-net over F₃	[i]
11	Digital (99, 143, 156)-net over F₃	[i]
12	Linear OOA(3¹⁵⁴, 156, F₃, 2, 55) (dual of [(156, 2), 158, 56]-NRT-code)	[i]		Extracting Embedded OOA
13	Linear OOA(3¹⁵⁴, 156, F₃, 3, 55) (dual of [(156, 3), 314, 56]-NRT-code)	[i]
14	Linear OOA(3¹⁵⁴, 156, F₃, 4, 55) (dual of [(156, 4), 470, 56]-NRT-code)	[i]
15	Linear OOA(3¹⁵⁴, 156, F₃, 5, 55) (dual of [(156, 5), 626, 56]-NRT-code)	[i]