MinT - Information on Result #1834981

Information on Result #1834981

OOA(4⁹⁹, 450, S₄, 3, 27), using extracting embedded OOA based on (72, 99, 450)-net in base 4, using

trace code for nets [i] based on (6, 33, 150)-net in base 64, using
- 2 times m-reduction [i] based on (6, 35, 150)-net in base 64, using
  - base change [i] based on digital (1, 30, 150)-net over F₁₂₈, using
    - net from sequence [i] based on digital (1, 149)-sequence over F₁₂₈, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 1 and N(F) ≥ 150, using
        a function field by SÃ©mirat [i]

Mode: Constructive.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	OOA(4¹⁰⁰, 450, S₄, 3, 27)	[i]		OOA Duplication
2	OOA(4¹⁰¹, 450, S₄, 3, 27)	[i]		OOA Duplication