MinT - Information on Result #2709565

Information on Result #2709565

OOA(8¹²⁶, 578, S₈, 3, 42), using 2 times NRT-code embedding in larger space based on OOA(8¹²⁰, 576, S₈, 3, 42), using

extracting embedded OOA [i] based on (78, 120, 576)-net in base 8, using
- trace code for nets [i] based on (18, 60, 288)-net in base 64, using
  - 3 times m-reduction [i] based on (18, 63, 288)-net in base 64, using
    - base change [i] based on digital (9, 54, 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(8¹²⁷, 578, S₈, 3, 42)	[i]		OOA Duplication
2	OOA(8¹²⁸, 578, S₈, 3, 42)	[i]		OOA Duplication