MinT - Information on Result #790972

Information on Result #790972

Digital (138, 210, 112)-net over F₂, using trace code for nets based on digital (33, 105, 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 (138, 209, 112)-net over F₂	[i]		m-Reduction
2	Digital (138, 208, 112)-net over F₂	[i]
3	Digital (138, 207, 112)-net over F₂	[i]
4	Digital (138, 206, 112)-net over F₂	[i]
5	Digital (138, 205, 112)-net over F₂	[i]
6	Digital (138, 204, 112)-net over F₂	[i]
7	Digital (138, 203, 112)-net over F₂	[i]
8	Digital (138, 202, 112)-net over F₂	[i]
9	Digital (138, 201, 112)-net over F₂	[i]
10	Digital (138, 200, 112)-net over F₂	[i]
11	Digital (138, 199, 112)-net over F₂	[i]
12	Digital (138, 198, 112)-net over F₂	[i]
13	Digital (138, 197, 112)-net over F₂	[i]
14	Digital (138, 196, 112)-net over F₂	[i]
15	Digital (138, 195, 112)-net over F₂	[i]
16	Digital (138, 194, 112)-net over F₂	[i]
17	Linear OOA(2²¹⁰, 112, F₂, 3, 72) (dual of [(112, 3), 126, 73]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(2²¹⁰, 112, F₂, 4, 72) (dual of [(112, 4), 238, 73]-NRT-code)	[i]
19	Linear OOA(2²¹⁰, 112, F₂, 5, 72) (dual of [(112, 5), 350, 73]-NRT-code)	[i]
20	Linear OOA(2²¹⁰, 112, F₂, 6, 72) (dual of [(112, 6), 462, 73]-NRT-code)	[i]
21	Linear OOA(2²¹⁰, 112, F₂, 7, 72) (dual of [(112, 7), 574, 73]-NRT-code)	[i]
22	Linear OOA(2²¹⁰, 112, F₂, 8, 72) (dual of [(112, 8), 686, 73]-NRT-code)	[i]