MinT - Information on Result #1835361

Information on Result #1835361

OOA(8⁴⁶, 514, S₈, 3, 17), using extracting embedded OOA based on (29, 46, 514)-net in base 8, using

trace code for nets [i] based on (6, 23, 257)-net in base 64, using
- 1 times m-reduction [i] based on (6, 24, 257)-net in base 64, using
  - base change [i] based on digital (0, 18, 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(8⁴⁷, 514, S₈, 3, 17)	[i]		OOA Duplication
2	OOA(8⁵⁴, 523, S₈, 3, 17)	[i]		(u,Â u+v)-Construction for OOAs
3	OOA(8⁵⁵, 528, S₈, 3, 17)	[i]		(u,Â u+v)-Construction for OOAs