MinT - Information on Result #1825982

Information on Result #1825982

(24, 42, 258)-net in base 8, using trace code for nets 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	(25, 43, 258)-net in base 8	[i]		Net Duplication
2	(26, 44, 258)-net in base 8	[i]		Net Duplication
3	(24, 41, 258)-net in base 8	[i]		m-Reduction
4	OOA(8⁴², 258, S₈, 2, 18)	[i]		Extracting Embedded OOA
5	OOA(8⁴², 258, S₈, 3, 18)	[i]		Extracting Embedded OOA