MinT - Information on Result #798591

Information on Result #798591

Digital (107, 158, 1026)-net over F₈, using trace code for nets based on digital (28, 79, 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 (107, 157, 1026)-net over F₈	[i]		m-Reduction
2	Digital (107, 156, 1026)-net over F₈	[i]
3	Digital (107, 155, 1026)-net over F₈	[i]
4	Digital (107, 154, 1026)-net over F₈	[i]
5	Digital (107, 153, 1026)-net over F₈	[i]
6	Digital (107, 152, 1026)-net over F₈	[i]
7	Digital (107, 151, 1026)-net over F₈	[i]
8	Digital (107, 150, 1026)-net over F₈	[i]
9	Digital (107, 149, 1026)-net over F₈	[i]
10	Digital (107, 148, 1026)-net over F₈	[i]
11	Digital (107, 147, 1026)-net over F₈	[i]
12	Digital (107, 146, 1026)-net over F₈	[i]
13	Digital (107, 145, 1026)-net over F₈	[i]
14	Digital (107, 144, 1026)-net over F₈	[i]
15	Digital (107, 143, 1026)-net over F₈	[i]
16	Digital (107, 142, 1026)-net over F₈	[i]
17	Linear OOA(8¹⁵⁸, 1026, F₈, 2, 51) (dual of [(1026, 2), 1894, 52]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(8¹⁵⁸, 1026, F₈, 3, 51) (dual of [(1026, 3), 2920, 52]-NRT-code)	[i]		Extracting Embedded OOA