MinT - Information on Result #2708076

Information on Result #2708076

OOA(4²¹⁹, 649, S₄, 3, 56), using 1 times NRT-code embedding in larger space based on OOA(4²¹⁶, 648, S₄, 3, 56), using

extracting embedded OOA [i] based on (160, 216, 648)-net in base 4, using
- trace code for nets [i] based on (16, 72, 216)-net in base 64, using
  - 5 times m-reduction [i] based on (16, 77, 216)-net in base 64, using
    - base change [i] based on digital (5, 66, 216)-net over F₁₂₈, using
      - net from sequence [i] based on digital (5, 215)-sequence over F₁₂₈, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 5 and N(F) ≥ 216, 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(4²²⁰, 649, S₄, 3, 56)	[i]		OOA Duplication
2	OOA(4²²¹, 649, S₄, 3, 56)	[i]		OOA Duplication