MinT - Information on Result #791783

Information on Result #791783

Digital (123, 156, 260)-net over F₂, using trace code for nets based on digital (6, 39, 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 (124, 156, 260)-net over F₂	[i]		t-Expansion
2	Digital (125, 156, 260)-net over F₂	[i]		t-Expansion
3	Digital (124, 157, 260)-net over F₂	[i]		Net Duplication
4	Digital (125, 158, 260)-net over F₂	[i]		Net Duplication
5	Digital (123, 155, 260)-net over F₂	[i]		m-Reduction
6	Digital (123, 154, 260)-net over F₂	[i]
7	Digital (123, 153, 260)-net over F₂	[i]
8	Digital (123, 152, 260)-net over F₂	[i]
9	Digital (139, 172, 263)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
10	Digital (140, 173, 265)-net over F₂	[i]
11	Digital (141, 174, 266)-net over F₂	[i]
12	Digital (142, 175, 267)-net over F₂	[i]
13	Digital (143, 176, 268)-net over F₂	[i]
14	Digital (144, 177, 269)-net over F₂	[i]
15	Digital (145, 178, 270)-net over F₂	[i]
16	Linear OOA(2¹⁵⁶, 260, F₂, 3, 33) (dual of [(260, 3), 624, 34]-NRT-code)	[i]		Extracting Embedded OOA
17	Linear OOA(2¹⁵⁶, 260, F₂, 4, 33) (dual of [(260, 4), 884, 34]-NRT-code)	[i]
18	Linear OOA(2¹⁵⁶, 260, F₂, 5, 33) (dual of [(260, 5), 1144, 34]-NRT-code)	[i]
19	Linear OOA(2¹⁵⁶, 260, F₂, 6, 33) (dual of [(260, 6), 1404, 34]-NRT-code)	[i]
20	Linear OOA(2¹⁵⁶, 260, F₂, 7, 33) (dual of [(260, 7), 1664, 34]-NRT-code)	[i]
21	Linear OOA(2¹⁵⁶, 260, F₂, 8, 33) (dual of [(260, 8), 1924, 34]-NRT-code)	[i]