MinT - Information on Result #1835055

Information on Result #1835055

OOA(4¹⁴⁰, 152, S₄, 3, 51), using extracting embedded OOA based on (89, 140, 152)-net in base 4, using

trace code for nets [i] based on (19, 70, 76)-net in base 16, using
- base change [i] based on digital (5, 56, 76)-net over F₃₂, using
  - net from sequence [i] based on digital (5, 75)-sequence over F₃₂, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 5 and N(F) ≥ 76, 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(4¹⁴⁰, 152, S₄, 3, 50)	[i]		Strength Reduction for OOAs
2	OOA(4¹⁴³, 153, S₄, 3, 51)	[i]		NRT-Code Embedding in Larger Space
3	OOA(4¹⁴¹, 152, S₄, 3, 51)	[i]		OOA Duplication
4	OOA(4¹⁴², 152, S₄, 3, 51)	[i]		OOA Duplication