MinT - Information on Result #790936

Information on Result #790936

Digital (132, 198, 112)-net over F₂, using trace code for nets based on digital (33, 99, 56)-net over F₄, using

net from sequence [i] based on digital (33, 55)-sequence over F₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
  - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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 (132, 197, 112)-net over F₂	[i]		m-Reduction
2	Digital (132, 196, 112)-net over F₂	[i]
3	Digital (132, 195, 112)-net over F₂	[i]
4	Digital (132, 194, 112)-net over F₂	[i]
5	Digital (132, 193, 112)-net over F₂	[i]
6	Digital (132, 192, 112)-net over F₂	[i]
7	Digital (132, 191, 112)-net over F₂	[i]
8	Digital (132, 190, 112)-net over F₂	[i]
9	Digital (132, 189, 112)-net over F₂	[i]
10	Digital (132, 188, 112)-net over F₂	[i]
11	Digital (132, 187, 112)-net over F₂	[i]
12	Digital (132, 186, 112)-net over F₂	[i]
13	Digital (132, 185, 112)-net over F₂	[i]
14	Linear OOA(2¹⁹⁸, 112, F₂, 3, 66) (dual of [(112, 3), 138, 67]-NRT-code)	[i]		Extracting Embedded OOA
15	Linear OOA(2¹⁹⁸, 112, F₂, 4, 66) (dual of [(112, 4), 250, 67]-NRT-code)	[i]
16	Linear OOA(2¹⁹⁸, 112, F₂, 5, 66) (dual of [(112, 5), 362, 67]-NRT-code)	[i]
17	Linear OOA(2¹⁹⁸, 112, F₂, 6, 66) (dual of [(112, 6), 474, 67]-NRT-code)	[i]
18	Linear OOA(2¹⁹⁸, 112, F₂, 7, 66) (dual of [(112, 7), 586, 67]-NRT-code)	[i]
19	Linear OOA(2¹⁹⁸, 112, F₂, 8, 66) (dual of [(112, 8), 698, 67]-NRT-code)	[i]