MinT - Information on Result #1830478

Information on Result #1830478

OOA(32¹⁰, 65, S₃₂, 2, 8), using extracting embedded OOA based on (2, 10, 65)-net in base 32, using

2 times m-reduction [i] based on (2, 12, 65)-net in base 32, using
- base change [i] based on digital (0, 10, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
      - the rational function field F₆₄(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(32⁸⁴, 4194366, S₃₂, 2, 16)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(32⁸⁸, 4194366, S₃₂, 2, 17)	[i]		(u,Â u+v)-Construction for OOAs