MinT - Information on Result #1838286

Information on Result #1838286

OOA(128⁷, 257, S₁₂₈, 4, 6), using extracting embedded OOA based on (1, 7, 257)-net in base 128, using

1 times m-reduction [i] based on (1, 8, 257)-net in base 128, using
- base change [i] based on digital (0, 7, 257)-net over F₂₅₆, using
  - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
      - the rational function field F₂₅₆(x) [i]
    - Niederreiter sequence [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(128¹⁰, 386, S₁₂₈, 4, 6)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(128²¹, 514, S₁₂₈, 4, 12)	[i]
3	OOA(128²², 515, S₁₂₈, 4, 12)	[i]
4	OOA(128⁴⁶, 2097407, S₁₂₈, 4, 12)	[i]
5	OOA(128²², 514, S₁₂₈, 4, 13)	[i]
6	OOA(128²³, 515, S₁₂₈, 4, 13)	[i]
7	OOA(128³⁶, 16641, S₁₂₈, 4, 13)	[i]
8	OOA(128⁵⁰, 2097407, S₁₂₈, 4, 13)	[i]
9	OOA(128²³, 546, S₁₂₈, 4, 13)	[i]