MinT - Information on Result #796916

Information on Result #796916

Digital (38, 56, 252)-net over F₅, using trace code for nets based on digital (10, 28, 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.

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 (38, 55, 252)-net over F₅	[i]		m-Reduction
2	Digital (38, 54, 252)-net over F₅	[i]
3	Digital (38, 53, 252)-net over F₅	[i]
4	Digital (38, 52, 252)-net over F₅	[i]
5	Digital (47, 65, 258)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
6	Digital (48, 66, 262)-net over F₅	[i]
7	Digital (49, 67, 264)-net over F₅	[i]
8	Digital (50, 68, 268)-net over F₅	[i]
9	Digital (51, 69, 270)-net over F₅	[i]
10	Digital (52, 70, 272)-net over F₅	[i]
11	Digital (62, 80, 356)-net over F₅	[i]
12	Digital (64, 82, 384)-net over F₅	[i]
13	Digital (112, 148, 504)-net over F₅	[i]
14	Digital (113, 150, 504)-net over F₅	[i]
15	Linear OOA(5⁵⁶, 252, F₅, 2, 18) (dual of [(252, 2), 448, 19]-NRT-code)	[i]		Extracting Embedded OOA
16	Linear OOA(5⁵⁶, 252, F₅, 3, 18) (dual of [(252, 3), 700, 19]-NRT-code)	[i]		Extracting Embedded OOA