MinT - Information on Result #1824763

Information on Result #1824763

(13, 32, 514)-net in base 128, using base change based on digital (9, 28, 514)-net over F₂₅₆, using

(u,Â u+v)-construction [i] based on
1. 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]
2. digital (0, 19, 257)-net over F₂₅₆, using
  - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆ (see above)

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, 33, 514)-net in base 128	[i]		Net Duplication
2	(13, 31, 514)-net in base 128	[i]		m-Reduction
3	(13, 30, 514)-net in base 128	[i]
4	(13, 29, 514)-net in base 128	[i]
5	OOA(128³², 514, S₁₂₈, 2, 19)	[i]		Extracting Embedded OOA
6	OOA(128³², 514, S₁₂₈, 3, 19)	[i]
7	OOA(128³², 514, S₁₂₈, 4, 19)	[i]