MinT - Information on Result #1823537

Information on Result #1823537

(15, 24, 514)-net in base 8, using base change based on digital (9, 18, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 9, 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	(16, 25, 514)-net in base 8	[i]		Net Duplication
2	(17, 26, 514)-net in base 8	[i]		Net Duplication
3	(15, 23, 514)-net in base 8	[i]		m-Reduction
4	(19, 28, 523)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
5	(144, 162, 1864648)-net in base 8	[i]
6	(59, 78, 1030)-net in base 8	[i]
7	(151, 170, 1864647)-net in base 8	[i]
8	(154, 173, 1864648)-net in base 8	[i]
9	OOA(8²⁴, 514, S₈, 2, 9)	[i]		Extracting Embedded OOA
10	OOA(8²⁴, 514, S₈, 3, 9)	[i]		Extracting Embedded OOA