MinT - Information on Result #791835

Information on Result #791835

Digital (180, 232, 260)-net over F₂, using trace code for nets based on digital (6, 58, 65)-net over F₁₆, using

net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
  - the Hermitian function field over F₁₆ [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 (181, 232, 260)-net over F₂	[i]		t-Expansion
2	Digital (182, 232, 260)-net over F₂	[i]		t-Expansion
3	Digital (181, 233, 260)-net over F₂	[i]		Net Duplication
4	Digital (182, 234, 260)-net over F₂	[i]		Net Duplication
5	Digital (180, 231, 260)-net over F₂	[i]		m-Reduction
6	Digital (180, 230, 260)-net over F₂	[i]
7	Digital (180, 229, 260)-net over F₂	[i]
8	Digital (180, 228, 260)-net over F₂	[i]
9	Digital (180, 227, 260)-net over F₂	[i]
10	Digital (180, 226, 260)-net over F₂	[i]
11	Digital (180, 225, 260)-net over F₂	[i]
12	Digital (206, 258, 263)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
13	Digital (207, 259, 265)-net over F₂	[i]
14	Digital (208, 260, 266)-net over F₂	[i]
15	Linear OOA(2²³², 260, F₂, 3, 52) (dual of [(260, 3), 548, 53]-NRT-code)	[i]		Extracting Embedded OOA
16	Linear OOA(2²³², 260, F₂, 4, 52) (dual of [(260, 4), 808, 53]-NRT-code)	[i]
17	Linear OOA(2²³², 260, F₂, 5, 52) (dual of [(260, 5), 1068, 53]-NRT-code)	[i]
18	Linear OOA(2²³², 260, F₂, 6, 52) (dual of [(260, 6), 1328, 53]-NRT-code)	[i]
19	Linear OOA(2²³², 260, F₂, 7, 52) (dual of [(260, 7), 1588, 53]-NRT-code)	[i]
20	Linear OOA(2²³², 260, F₂, 8, 52) (dual of [(260, 8), 1848, 53]-NRT-code)	[i]