MinT - Information on Result #1824291

Information on Result #1824291

(67, 108, 593)-net in base 32, using base change based on digital (49, 90, 593)-net over F₆₄, using

(u,Â u+v)-construction [i] based on
1. digital (1, 21, 80)-net over F₆₄, using
  - net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
      - a function field by SÃ©mirat [i]
2. digital (28, 69, 513)-net over F₆₄, using
  - net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
      - the Hermitian function field over F₆₄ [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	(68, 108, 593)-net in base 32	[i]		t-Expansion
2	(68, 109, 593)-net in base 32	[i]		Net Duplication
3	(67, 107, 593)-net in base 32	[i]		m-Reduction
4	(67, 106, 593)-net in base 32	[i]		m-Reduction