MinT - Information on Result #798585

Information on Result #798585

Digital (106, 156, 1026)-net over F₈, using trace code for nets based on digital (28, 78, 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 (106, 155, 1026)-net over F₈	[i]		m-Reduction
2	Digital (106, 154, 1026)-net over F₈	[i]
3	Digital (106, 153, 1026)-net over F₈	[i]
4	Digital (106, 152, 1026)-net over F₈	[i]
5	Digital (106, 151, 1026)-net over F₈	[i]
6	Digital (106, 150, 1026)-net over F₈	[i]
7	Digital (106, 149, 1026)-net over F₈	[i]
8	Digital (106, 148, 1026)-net over F₈	[i]
9	Digital (106, 147, 1026)-net over F₈	[i]
10	Digital (106, 146, 1026)-net over F₈	[i]
11	Digital (106, 145, 1026)-net over F₈	[i]
12	Digital (106, 144, 1026)-net over F₈	[i]
13	Digital (106, 143, 1026)-net over F₈	[i]
14	Digital (106, 142, 1026)-net over F₈	[i]
15	Digital (106, 141, 1026)-net over F₈	[i]
16	Digital (106, 140, 1026)-net over F₈	[i]
17	Linear OOA(8¹⁵⁶, 1026, F₈, 2, 50) (dual of [(1026, 2), 1896, 51]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(8¹⁵⁶, 1026, F₈, 3, 50) (dual of [(1026, 3), 2922, 51]-NRT-code)	[i]		Extracting Embedded OOA