MinT - Information on Result #1831310

Information on Result #1831310

OOA(128²³, 257, S₁₂₈, 2, 20), using extracting embedded OOA based on (3, 23, 257)-net in base 128, using

1 times m-reduction [i] based on (3, 24, 257)-net in base 128, using
- base change [i] based on digital (0, 21, 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(128³³, 386, S₁₂₈, 2, 20)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(128³⁴, 407, S₁₂₈, 2, 20)	[i]
3	OOA(128³⁵, 514, S₁₂₈, 2, 20)	[i]
4	OOA(128⁶⁸, 432, S₁₂₈, 2, 40)	[i]
5	OOA(128⁶⁹, 514, S₁₂₈, 2, 40)	[i]
6	OOA(128⁷⁰, 515, S₁₂₈, 2, 40)	[i]
7	OOA(128⁷², 545, S₁₂₈, 2, 40)	[i]
8	OOA(128⁶⁹, 432, S₁₂₈, 2, 41)	[i]
9	OOA(128⁷⁰, 514, S₁₂₈, 2, 41)	[i]
10	OOA(128⁷¹, 515, S₁₂₈, 2, 41)	[i]
11	OOA(128⁷³, 545, S₁₂₈, 2, 41)	[i]