MinT - Information on Result #796997

Information on Result #796997

Digital (49, 78, 252)-net over F₅, using trace code for nets based on digital (10, 39, 126)-net over F₂₅, using

net from sequence [i] based on digital (10, 125)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
  - the Hermitian function field over F₂₅ [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Digital (49, 77, 252)-net over F₅	[i]	m-Reduction
2	Digital (49, 76, 252)-net over F₅	[i]
3	Digital (49, 75, 252)-net over F₅	[i]
4	Digital (49, 74, 252)-net over F₅	[i]
5	Digital (49, 73, 252)-net over F₅	[i]
6	Digital (49, 72, 252)-net over F₅	[i]
7	Digital (49, 71, 252)-net over F₅	[i]
8	Digital (49, 70, 252)-net over F₅	[i]
9	Digital (49, 69, 252)-net over F₅	[i]
10	Digital (63, 92, 258)-net over F₅	[i]	(u,Â u+v)-Construction for Nets
11	Digital (64, 93, 262)-net over F₅	[i]
12	Digital (65, 94, 264)-net over F₅	[i]
13	Digital (66, 95, 268)-net over F₅	[i]
14	Digital (77, 106, 304)-net over F₅	[i]
15	Digital (95, 124, 460)-net over F₅	[i]
16	Digital (97, 126, 504)-net over F₅	[i]
17	Digital (106, 135, 510)-net over F₅	[i]	Generalized (u,Â u+v)-Construction for Nets
18	Digital (107, 136, 514)-net over F₅	[i]
19	Digital (108, 137, 516)-net over F₅	[i]
20	Digital (109, 138, 520)-net over F₅	[i]
21	Linear OOA(5⁷⁸, 252, F₅, 2, 29) (dual of [(252, 2), 426, 30]-NRT-code)	[i]	Extracting Embedded OOA
22	Linear OOA(5⁷⁸, 252, F₅, 3, 29) (dual of [(252, 3), 678, 30]-NRT-code)	[i]	Extracting Embedded OOA