MinT - Information on Result #1831276

Information on Result #1831276

OOA(128¹⁴, 257, S₁₂₈, 2, 12), using extracting embedded OOA based on (2, 14, 257)-net in base 128, using

2 times m-reduction [i] based on (2, 16, 257)-net in base 128, using
- base change [i] based on digital (0, 14, 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(128²⁰, 386, S₁₂₈, 2, 12)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(128²¹, 514, S₁₂₈, 2, 12)	[i]
3	OOA(128⁴¹, 384, S₁₂₈, 2, 24)	[i]
4	OOA(128⁴², 514, S₁₂₈, 2, 24)	[i]
5	OOA(128⁴³, 515, S₁₂₈, 2, 24)	[i]
6	OOA(128⁶⁸, 33026, S₁₂₈, 2, 24)	[i]
7	OOA(128⁴², 384, S₁₂₈, 2, 25)	[i]
8	OOA(128⁴³, 514, S₁₂₈, 2, 25)	[i]
9	OOA(128⁴⁴, 515, S₁₂₈, 2, 25)	[i]
10	OOA(128⁴⁸, 545, S₁₂₈, 2, 25)	[i]
11	OOA(128⁷⁰, 33026, S₁₂₈, 2, 25)	[i]