MinT - Information on Result #798310

Information on Result #798310

Digital (39, 64, 354)-net over F₈, using trace code for nets based on digital (7, 32, 177)-net over F₆₄, using

net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
  - a function field by GarcÃa and Quoos [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 (39, 63, 354)-net over F₈	[i]		m-Reduction
2	Digital (39, 62, 354)-net over F₈	[i]
3	Digital (39, 61, 354)-net over F₈	[i]
4	Digital (39, 60, 354)-net over F₈	[i]
5	Digital (39, 59, 354)-net over F₈	[i]
6	Digital (39, 58, 354)-net over F₈	[i]
7	Digital (39, 57, 354)-net over F₈	[i]
8	Digital (51, 76, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
9	Digital (52, 77, 368)-net over F₈	[i]
10	Digital (53, 78, 371)-net over F₈	[i]
11	Digital (54, 79, 378)-net over F₈	[i]
12	Digital (55, 80, 379)-net over F₈	[i]
13	Digital (56, 81, 382)-net over F₈	[i]
14	Digital (58, 83, 388)-net over F₈	[i]
15	Digital (59, 84, 389)-net over F₈	[i]
16	Digital (60, 85, 399)-net over F₈	[i]
17	Digital (62, 87, 419)-net over F₈	[i]
18	Digital (63, 88, 484)-net over F₈	[i]
19	Digital (65, 90, 514)-net over F₈	[i]
20	Digital (69, 94, 562)-net over F₈	[i]
21	Digital (77, 102, 708)-net over F₈	[i]
22	(67, 92, 612)-net in base 8	[i]
23	(71, 96, 708)-net in base 8	[i]
24	Linear OOA(8⁶⁴, 354, F₈, 2, 25) (dual of [(354, 2), 644, 26]-NRT-code)	[i]		Extracting Embedded OOA
25	Linear OOA(8⁶⁴, 354, F₈, 3, 25) (dual of [(354, 3), 998, 26]-NRT-code)	[i]		Extracting Embedded OOA