MinT - Information on Result #1823557

Information on Result #1823557

(25, 40, 514)-net in base 8, using base change based on digital (15, 30, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 15, 257)-net over F₂₅₆, using
- net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
    - the rational function field F₂₅₆(x) [i]
  - Niederreiter sequence [i]

Mode: Constructive.

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	(26, 41, 514)-net in base 8	[i]		Net Duplication
2	(27, 42, 514)-net in base 8	[i]		Net Duplication
3	(25, 39, 514)-net in base 8	[i]		m-Reduction
4	(32, 47, 523)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
5	(33, 48, 528)-net in base 8	[i]
6	(34, 49, 531)-net in base 8	[i]
7	(35, 50, 538)-net in base 8	[i]
8	(36, 51, 539)-net in base 8	[i]
9	(39, 54, 644)-net in base 8	[i]
10	(41, 56, 674)-net in base 8	[i]
11	(84, 114, 708)-net in base 8	[i]
12	(85, 116, 708)-net in base 8	[i]
13	(95, 126, 1030)-net in base 8	[i]
14	(103, 134, 1090)-net in base 8	[i]
15	OOA(8⁴⁰, 514, S₈, 2, 15)	[i]		Extracting Embedded OOA
16	OOA(8⁴⁰, 514, S₈, 3, 15)	[i]		Extracting Embedded OOA