MinT - Information on Result #791008

Information on Result #791008

Digital (144, 222, 112)-net over F₂, using trace code for nets based on digital (33, 111, 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 (144, 221, 112)-net over F₂	[i]		m-Reduction
2	Digital (144, 220, 112)-net over F₂	[i]
3	Digital (144, 219, 112)-net over F₂	[i]
4	Digital (144, 218, 112)-net over F₂	[i]
5	Digital (144, 217, 112)-net over F₂	[i]
6	Digital (144, 216, 112)-net over F₂	[i]
7	Digital (144, 215, 112)-net over F₂	[i]
8	Digital (144, 214, 112)-net over F₂	[i]
9	Digital (144, 213, 112)-net over F₂	[i]
10	Digital (144, 212, 112)-net over F₂	[i]
11	Digital (144, 211, 112)-net over F₂	[i]
12	Digital (144, 210, 112)-net over F₂	[i]
13	Digital (144, 209, 112)-net over F₂	[i]
14	Digital (144, 208, 112)-net over F₂	[i]
15	Digital (144, 207, 112)-net over F₂	[i]
16	Digital (144, 206, 112)-net over F₂	[i]
17	Digital (144, 205, 112)-net over F₂	[i]
18	Digital (144, 204, 112)-net over F₂	[i]
19	Digital (144, 203, 112)-net over F₂	[i]
20	Linear OOA(2²²², 112, F₂, 3, 78) (dual of [(112, 3), 114, 79]-NRT-code)	[i]		Extracting Embedded OOA
21	Linear OOA(2²²², 112, F₂, 4, 78) (dual of [(112, 4), 226, 79]-NRT-code)	[i]
22	Linear OOA(2²²², 112, F₂, 5, 78) (dual of [(112, 5), 338, 79]-NRT-code)	[i]
23	Linear OOA(2²²², 112, F₂, 6, 78) (dual of [(112, 6), 450, 79]-NRT-code)	[i]
24	Linear OOA(2²²², 112, F₂, 7, 78) (dual of [(112, 7), 562, 79]-NRT-code)	[i]
25	Linear OOA(2²²², 112, F₂, 8, 78) (dual of [(112, 8), 674, 79]-NRT-code)	[i]