MinT - Information on Result #1835623

Information on Result #1835623

OOA(8¹⁴⁴, 514, S₈, 3, 54), using extracting embedded OOA based on (90, 144, 514)-net in base 8, using

base change [i] based on digital (54, 108, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 54, 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(8¹⁴⁷, 515, S₈, 3, 54)	[i]		NRT-Code Embedding in Larger Space
2	OOA(8¹⁴⁵, 514, S₈, 3, 54)	[i]		OOA Duplication
3	OOA(8¹⁴⁶, 514, S₈, 3, 54)	[i]		OOA Duplication