MinT - Information on Result #1835650

Information on Result #1835650

OOA(8¹⁵⁴, 576, S₈, 3, 57), using extracting embedded OOA based on (97, 154, 576)-net in base 8, using

trace code for nets [i] based on (20, 77, 288)-net in base 64, using
- base change [i] based on digital (9, 66, 288)-net over F₁₂₈, using
  - net from sequence [i] based on digital (9, 287)-sequence over F₁₂₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288, 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(8¹⁵⁴, 576, S₈, 3, 56)	[i]		Strength Reduction for OOAs
2	OOA(8¹⁵⁷, 577, S₈, 3, 57)	[i]		NRT-Code Embedding in Larger Space
3	OOA(8¹⁶⁰, 578, S₈, 3, 57)	[i]
4	OOA(8¹⁶³, 579, S₈, 3, 57)	[i]
5	OOA(8¹⁵⁵, 576, S₈, 3, 57)	[i]		OOA Duplication
6	OOA(8¹⁵⁶, 576, S₈, 3, 57)	[i]		OOA Duplication