MinT - Information on Result #1825305

Information on Result #1825305

(13, 30, 129)-net in base 16, using base change based on (3, 20, 129)-net in base 64, using

1 times m-reduction [i] based on (3, 21, 129)-net in base 64, using
- base change [i] based on digital (0, 18, 129)-net over F₁₂₈, using
  - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
      - the rational function field F₁₂₈(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, 31, 129)-net in base 16	[i]		Net Duplication
2	(13, 29, 129)-net in base 16	[i]		m-Reduction
3	(64, 98, 643)-net in base 16	[i]		(u,Â u+v)-Construction for Nets
4	(66, 100, 645)-net in base 16	[i]
5	(65, 100, 643)-net in base 16	[i]
6	(67, 102, 645)-net in base 16	[i]
7	OOA(16³⁰, 129, S₁₆, 2, 17)	[i]		Extracting Embedded OOA