MinT - Information on Result #1825960

Information on Result #1825960

(14, 22, 514)-net in base 8, using trace code for nets based on (3, 11, 257)-net in base 64, using

1 times m-reduction [i] based on (3, 12, 257)-net in base 64, using
- base change [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	(14, 21, 514)-net in base 8	[i]		m-Reduction
2	(18, 26, 523)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
3	(19, 27, 528)-net in base 8	[i]
4	(47, 64, 600)-net in base 8	[i]
5	(53, 70, 1030)-net in base 8	[i]
6	OOA(8²², 514, S₈, 2, 8)	[i]		Extracting Embedded OOA
7	OOA(8²², 514, S₈, 3, 8)	[i]		Extracting Embedded OOA