MinT - Information on Result #798549

Information on Result #798549

Digital (100, 144, 1026)-net over F₈, using trace code for nets based on digital (28, 72, 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 (100, 143, 1026)-net over F₈	[i]		m-Reduction
2	Digital (100, 142, 1026)-net over F₈	[i]
3	Digital (100, 141, 1026)-net over F₈	[i]
4	Digital (100, 140, 1026)-net over F₈	[i]
5	Digital (100, 139, 1026)-net over F₈	[i]
6	Digital (100, 138, 1026)-net over F₈	[i]
7	Digital (100, 137, 1026)-net over F₈	[i]
8	Digital (100, 136, 1026)-net over F₈	[i]
9	Digital (100, 135, 1026)-net over F₈	[i]
10	Digital (100, 134, 1026)-net over F₈	[i]
11	Digital (100, 133, 1026)-net over F₈	[i]
12	Digital (100, 132, 1026)-net over F₈	[i]
13	Digital (100, 131, 1026)-net over F₈	[i]
14	Digital (100, 130, 1026)-net over F₈	[i]
15	Digital (122, 166, 1035)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
16	Digital (123, 167, 1040)-net over F₈	[i]
17	Digital (124, 168, 1043)-net over F₈	[i]
18	Digital (125, 169, 1050)-net over F₈	[i]
19	Digital (126, 170, 1051)-net over F₈	[i]
20	Digital (127, 171, 1054)-net over F₈	[i]
21	Digital (129, 173, 1060)-net over F₈	[i]
22	Linear OOA(8¹⁴⁴, 1026, F₈, 2, 44) (dual of [(1026, 2), 1908, 45]-NRT-code)	[i]		Extracting Embedded OOA
23	Linear OOA(8¹⁴⁴, 1026, F₈, 3, 44) (dual of [(1026, 3), 2934, 45]-NRT-code)	[i]		Extracting Embedded OOA