MinT - Information on Result #1844443

Information on Result #1844443

(56, 90, 546)-net in base 32, using base change based on (41, 75, 546)-net in base 64, using

(u,Â u+v)-construction [i] based on
1. (7, 24, 258)-net in base 64, using
  - base change [i] based on digital (1, 18, 258)-net over F₂₅₆, using
    - net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
      - Niederreiter sequence [i]
2. (17, 51, 288)-net in base 64, using
  - 5 times m-reduction [i] based on (17, 56, 288)-net in base 64, using
    - base change [i] based on digital (9, 48, 288)-net over F₁₂₈, using
      - net from sequence [i] based on digital (9, 287)-sequence over F₁₂₈, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288, 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	(56, 89, 546)-net in base 32	[i]		m-Reduction
2	(56, 88, 546)-net in base 32	[i]		m-Reduction