MinT - Information on Result #1823585

Information on Result #1823585

(38, 60, 514)-net in base 8, using base change based on digital (23, 45, 514)-net over F₁₆, using

1 times m-reduction [i] based on digital (23, 46, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 23, 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	(38, 59, 514)-net in base 8	[i]		m-Reduction
2	(49, 71, 523)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
3	(50, 72, 528)-net in base 8	[i]
4	(51, 73, 531)-net in base 8	[i]
5	(59, 81, 579)-net in base 8	[i]
6	(60, 82, 644)-net in base 8	[i]
7	(62, 84, 674)-net in base 8	[i]
8	(64, 86, 772)-net in base 8	[i]
9	OOA(8⁶⁰, 514, S₈, 2, 22)	[i]		Extracting Embedded OOA
10	OOA(8⁶⁰, 514, S₈, 3, 22)	[i]		Extracting Embedded OOA