MinT - Information on Result #2707790

Information on Result #2707790

OOA(4¹⁷⁴, 578, S₄, 3, 45), using 2 times NRT-code embedding in larger space based on OOA(4¹⁶⁸, 576, S₄, 3, 45), using

extracting embedded OOA [i] based on (123, 168, 576)-net in base 4, using
- trace code for nets [i] based on (11, 56, 192)-net in base 64, using
  - base change [i] based on digital (3, 48, 192)-net over F₁₂₈, using
    - net from sequence [i] based on digital (3, 191)-sequence over F₁₂₈, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 3 and N(F) ≥ 192, 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(4¹⁷⁵, 578, S₄, 3, 45)	[i]		OOA Duplication
2	OOA(4¹⁷⁶, 578, S₄, 3, 45)	[i]		OOA Duplication