MinT - Information on Result #1836246

Information on Result #1836246

OOA(128¹⁶, 257, S₁₂₈, 3, 14), using extracting embedded OOA 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(128¹⁷, 257, S₁₂₈, 3, 14)	[i]		OOA Duplication
2	OOA(128²³, 386, S₁₂₈, 3, 14)	[i]		(u,Â u+v)-Construction for OOAs
3	OOA(128⁴⁷, 384, S₁₂₈, 3, 28)	[i]
4	OOA(128⁵⁰, 515, S₁₂₈, 3, 28)	[i]
5	OOA(128⁵¹, 516, S₁₂₈, 3, 28)	[i]
6	OOA(128⁵², 517, S₁₂₈, 3, 28)	[i]
7	OOA(128⁵³, 545, S₁₂₈, 3, 28)	[i]
8	OOA(128⁴⁸, 384, S₁₂₈, 3, 29)	[i]
9	OOA(128⁵⁰, 514, S₁₂₈, 3, 29)	[i]
10	OOA(128⁵¹, 515, S₁₂₈, 3, 29)	[i]
11	OOA(128⁵², 516, S₁₂₈, 3, 29)	[i]
12	OOA(128⁵³, 517, S₁₂₈, 3, 29)	[i]
13	OOA(128⁵⁴, 545, S₁₂₈, 3, 29)	[i]