MinT - Information on Result #798621

Information on Result #798621

Digital (112, 168, 1026)-net over F₈, using trace code for nets based on digital (28, 84, 513)-net over F₆₄, using

net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
  - the Hermitian function field over F₆₄ [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 (112, 167, 1026)-net over F₈	[i]		m-Reduction
2	Digital (112, 166, 1026)-net over F₈	[i]
3	Digital (112, 165, 1026)-net over F₈	[i]
4	Digital (112, 164, 1026)-net over F₈	[i]
5	Digital (112, 163, 1026)-net over F₈	[i]
6	Digital (112, 162, 1026)-net over F₈	[i]
7	Digital (112, 161, 1026)-net over F₈	[i]
8	Digital (112, 160, 1026)-net over F₈	[i]
9	Digital (112, 159, 1026)-net over F₈	[i]
10	Digital (112, 158, 1026)-net over F₈	[i]
11	Digital (112, 157, 1026)-net over F₈	[i]
12	Digital (112, 156, 1026)-net over F₈	[i]
13	Digital (112, 155, 1026)-net over F₈	[i]
14	Digital (112, 154, 1026)-net over F₈	[i]
15	Digital (112, 153, 1026)-net over F₈	[i]
16	Digital (112, 152, 1026)-net over F₈	[i]
17	Digital (112, 151, 1026)-net over F₈	[i]
18	Digital (112, 150, 1026)-net over F₈	[i]
19	Linear OOA(8¹⁶⁸, 1026, F₈, 2, 56) (dual of [(1026, 2), 1884, 57]-NRT-code)	[i]		Extracting Embedded OOA
20	Linear OOA(8¹⁶⁸, 1026, F₈, 3, 56) (dual of [(1026, 3), 2910, 57]-NRT-code)	[i]		Extracting Embedded OOA