MinT - Information on Result #1835585

Information on Result #1835585

OOA(8¹²⁶, 432, S₈, 3, 49), using extracting embedded OOA based on (77, 126, 432)-net in base 8, using

trace code for nets [i] based on (14, 63, 216)-net in base 64, using
- base change [i] based on digital (5, 54, 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(8¹²⁶, 432, S₈, 3, 48)	[i]		Strength Reduction for OOAs
2	OOA(8¹²⁹, 433, S₈, 3, 49)	[i]		NRT-Code Embedding in Larger Space
3	OOA(8¹²⁷, 432, S₈, 3, 49)	[i]		OOA Duplication
4	OOA(8¹²⁸, 432, S₈, 3, 49)	[i]		OOA Duplication