MinT - Information on Result #1830776

Information on Result #1830776

OOA(32⁷⁷, 177, S₃₂, 2, 57), using extracting embedded OOA based on (20, 77, 177)-net in base 32, using

1 times m-reduction [i] based on (20, 78, 177)-net in base 32, using
- base change [i] based on digital (7, 65, 177)-net over F₆₄, using
  - net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
      - a function field by GarcÃa and Quoos [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(32⁷⁷, 177, S₃₂, 2, 56)	[i]		Strength Reduction for OOAs
2	OOA(32⁷⁹, 178, S₃₂, 2, 57)	[i]		NRT-Code Embedding in Larger Space
3	OOA(32⁸¹, 179, S₃₂, 2, 57)	[i]		NRT-Code Embedding in Larger Space