MinT - Information on Result #1824541

Information on Result #1824541

(26, 56, 321)-net in base 64, using base change based on digital (18, 48, 321)-net over F₁₂₈, using

(u,Â u+v)-construction [i] based on
1. digital (0, 15, 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]
2. digital (3, 33, 192)-net over F₁₂₈, using
  - net from sequence [i] based on digital (3, 191)-sequence over F₁₂₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 3 and N(F) ≥ 192, using
      - a function field by SÃ©mirat [i]

Mode: Constructive.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	(82, 112, 642)-net in base 8	[i]		Trace Code for Nets
2	OOA(64⁵⁶, 321, S₆₄, 2, 30)	[i]		Extracting Embedded OOA
3	OOA(64⁵⁶, 321, S₆₄, 3, 30)	[i]		Extracting Embedded OOA