MinT - Information on Result #1826051

Information on Result #1826051

(45, 78, 258)-net in base 8, using trace code for nets based on (6, 39, 129)-net in base 64, using

3 times m-reduction [i] based on (6, 42, 129)-net in base 64, using
- base change [i] based on digital (0, 36, 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	(45, 77, 258)-net in base 8	[i]		m-Reduction
2	OOA(8⁷⁸, 258, S₈, 2, 33)	[i]		Extracting Embedded OOA
3	OOA(8⁷⁸, 258, S₈, 3, 33)	[i]		Extracting Embedded OOA