MinT - Information on Result #1835173

Information on Result #1835173

OOA(4¹⁹⁸, 648, S₄, 3, 51), using extracting embedded OOA based on (147, 198, 648)-net in base 4, using

trace code for nets [i] based on (15, 66, 216)-net in base 64, using
- 4 times m-reduction [i] based on (15, 70, 216)-net in base 64, using
  - base change [i] based on digital (5, 60, 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(4²⁰¹, 649, S₄, 3, 51)	[i]		NRT-Code Embedding in Larger Space
2	OOA(4¹⁹⁹, 648, S₄, 3, 51)	[i]		OOA Duplication
3	OOA(4²⁰⁰, 648, S₄, 3, 51)	[i]		OOA Duplication