MinT - Information on Result #1823553

Information on Result #1823553

(23, 36, 514)-net in base 8, using base change based on digital (14, 27, 514)-net over F₁₆, using

1 times m-reduction [i] based on digital (14, 28, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 14, 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	(23, 35, 514)-net in base 8	[i]		m-Reduction
2	(29, 42, 523)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
3	(30, 43, 528)-net in base 8	[i]
4	(76, 102, 708)-net in base 8	[i]
5	(77, 104, 708)-net in base 8	[i]
6	(79, 106, 768)-net in base 8	[i]
7	OOA(8³⁶, 514, S₈, 2, 13)	[i]		Extracting Embedded OOA
8	OOA(8³⁶, 514, S₈, 3, 13)	[i]		Extracting Embedded OOA