MinT - Information on Result #1823563

Information on Result #1823563

(28, 44, 514)-net in base 8, using base change based on digital (17, 33, 514)-net over F₁₆, using

1 times m-reduction [i] based on digital (17, 34, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 17, 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	(28, 43, 514)-net in base 8	[i]		m-Reduction
2	(36, 52, 523)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
3	(37, 53, 528)-net in base 8	[i]
4	(38, 54, 531)-net in base 8	[i]
5	(39, 55, 538)-net in base 8	[i]
6	(43, 59, 579)-net in base 8	[i]
7	(44, 60, 644)-net in base 8	[i]
8	OOA(8⁴⁴, 514, S₈, 2, 16)	[i]		Extracting Embedded OOA
9	OOA(8⁴⁴, 514, S₈, 3, 16)	[i]		Extracting Embedded OOA