MinT - Information on Result #1835852

Information on Result #1835852

OOA(64¹⁸, 129, S₆₄, 3, 15), using extracting embedded OOA based on (3, 18, 129)-net in base 64, using

3 times m-reduction [i] based on (3, 21, 129)-net in base 64, using
- base change [i] based on digital (0, 18, 129)-net over F₁₂₈, using
  - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
      - the rational function field F₁₂₈(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(64⁵⁵, 306, S₆₄, 3, 30)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(64⁵⁶, 306, S₆₄, 3, 31)	[i]		(u,Â u+v)-Construction for OOAs