MinT - Information on Result #1825969

Information on Result #1825969

(19, 32, 258)-net in base 8, using trace code for nets based on (3, 16, 129)-net in base 64, using

5 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	(19, 31, 258)-net in base 8	[i]		m-Reduction
2	(76, 102, 772)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
3	(73, 100, 612)-net in base 8	[i]
4	(77, 104, 772)-net in base 8	[i]
5	OOA(8³², 258, S₈, 2, 13)	[i]		Extracting Embedded OOA
6	OOA(8³², 258, S₈, 3, 13)	[i]		Extracting Embedded OOA