MinT - Information on Result #1835354

Information on Result #1835354

OOA(8⁴², 300, S₈, 3, 17), using extracting embedded OOA based on (25, 42, 300)-net in base 8, using

trace code for nets [i] based on (4, 21, 150)-net in base 64, using
- base change [i] based on digital (1, 18, 150)-net over F₁₂₈, using
  - net from sequence [i] based on digital (1, 149)-sequence over F₁₂₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 1 and N(F) ≥ 150, 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(8⁴², 300, S₈, 3, 16)	[i]		Strength Reduction for OOAs
2	OOA(8⁴⁵, 301, S₈, 3, 17)	[i]		NRT-Code Embedding in Larger Space
3	OOA(8⁴³, 300, S₈, 3, 17)	[i]		OOA Duplication
4	OOA(8⁴⁴, 300, S₈, 3, 17)	[i]		OOA Duplication