MinT - Information on Result #797212

Information on Result #797212

Digital (72, 124, 252)-net over F₅, using trace code for nets based on digital (10, 62, 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 (72, 123, 252)-net over F₅	[i]		m-Reduction
2	Digital (72, 122, 252)-net over F₅	[i]
3	Digital (72, 121, 252)-net over F₅	[i]
4	Digital (72, 120, 252)-net over F₅	[i]
5	Digital (72, 119, 252)-net over F₅	[i]
6	Digital (72, 118, 252)-net over F₅	[i]
7	Digital (72, 117, 252)-net over F₅	[i]
8	Digital (72, 116, 252)-net over F₅	[i]
9	Digital (72, 115, 252)-net over F₅	[i]
10	Digital (72, 114, 252)-net over F₅	[i]
11	Digital (72, 113, 252)-net over F₅	[i]
12	Digital (72, 112, 252)-net over F₅	[i]
13	Digital (72, 111, 252)-net over F₅	[i]
14	Digital (72, 110, 252)-net over F₅	[i]
15	Digital (72, 109, 252)-net over F₅	[i]
16	Digital (72, 108, 252)-net over F₅	[i]
17	Linear OOA(5¹²⁴, 252, F₅, 2, 52) (dual of [(252, 2), 380, 53]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(5¹²⁴, 252, F₅, 3, 52) (dual of [(252, 3), 632, 53]-NRT-code)	[i]		Extracting Embedded OOA