MinT - Information on Result #791787

Information on Result #791787

Digital (129, 164, 260)-net over F₂, using trace code for nets based on digital (6, 41, 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 (130, 164, 260)-net over F₂	[i]		t-Expansion
2	Digital (131, 164, 260)-net over F₂	[i]		t-Expansion
3	Digital (130, 165, 260)-net over F₂	[i]		Net Duplication
4	Digital (131, 166, 260)-net over F₂	[i]		Net Duplication
5	Digital (129, 163, 260)-net over F₂	[i]		m-Reduction
6	Digital (129, 162, 260)-net over F₂	[i]
7	Digital (129, 161, 260)-net over F₂	[i]
8	Digital (129, 160, 260)-net over F₂	[i]
9	Digital (146, 181, 263)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
10	Digital (147, 182, 265)-net over F₂	[i]
11	Digital (148, 183, 266)-net over F₂	[i]
12	Digital (149, 184, 267)-net over F₂	[i]
13	Digital (150, 185, 268)-net over F₂	[i]
14	Digital (151, 186, 269)-net over F₂	[i]
15	Digital (152, 187, 270)-net over F₂	[i]
16	Digital (154, 189, 271)-net over F₂	[i]
17	Linear OOA(2¹⁶⁴, 260, F₂, 3, 35) (dual of [(260, 3), 616, 36]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(2¹⁶⁴, 260, F₂, 4, 35) (dual of [(260, 4), 876, 36]-NRT-code)	[i]
19	Linear OOA(2¹⁶⁴, 260, F₂, 5, 35) (dual of [(260, 5), 1136, 36]-NRT-code)	[i]
20	Linear OOA(2¹⁶⁴, 260, F₂, 6, 35) (dual of [(260, 6), 1396, 36]-NRT-code)	[i]
21	Linear OOA(2¹⁶⁴, 260, F₂, 7, 35) (dual of [(260, 7), 1656, 36]-NRT-code)	[i]
22	Linear OOA(2¹⁶⁴, 260, F₂, 8, 35) (dual of [(260, 8), 1916, 36]-NRT-code)	[i]