MinT - Information on Result #791781

Information on Result #791781

Digital (120, 152, 260)-net over F₂, using trace code for nets based on digital (6, 38, 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 (121, 152, 260)-net over F₂	[i]		t-Expansion
2	Digital (122, 152, 260)-net over F₂	[i]		t-Expansion
3	Digital (121, 153, 260)-net over F₂	[i]		Net Duplication
4	Digital (122, 154, 260)-net over F₂	[i]		Net Duplication
5	Digital (120, 151, 260)-net over F₂	[i]		m-Reduction
6	Digital (120, 150, 260)-net over F₂	[i]
7	Digital (120, 149, 260)-net over F₂	[i]
8	Digital (120, 148, 260)-net over F₂	[i]
9	Digital (136, 168, 263)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
10	Digital (137, 169, 265)-net over F₂	[i]
11	Digital (138, 170, 266)-net over F₂	[i]
12	Digital (139, 171, 267)-net over F₂	[i]
13	Digital (140, 172, 268)-net over F₂	[i]
14	Digital (141, 173, 269)-net over F₂	[i]
15	Digital (142, 174, 270)-net over F₂	[i]
16	Linear OOA(2¹⁵², 260, F₂, 3, 32) (dual of [(260, 3), 628, 33]-NRT-code)	[i]		Extracting Embedded OOA
17	Linear OOA(2¹⁵², 260, F₂, 4, 32) (dual of [(260, 4), 888, 33]-NRT-code)	[i]
18	Linear OOA(2¹⁵², 260, F₂, 5, 32) (dual of [(260, 5), 1148, 33]-NRT-code)	[i]
19	Linear OOA(2¹⁵², 260, F₂, 6, 32) (dual of [(260, 6), 1408, 33]-NRT-code)	[i]
20	Linear OOA(2¹⁵², 260, F₂, 7, 32) (dual of [(260, 7), 1668, 33]-NRT-code)	[i]
21	Linear OOA(2¹⁵², 260, F₂, 8, 32) (dual of [(260, 8), 1928, 33]-NRT-code)	[i]