MinT - Information on Result #1830487

Information on Result #1830487

OOA(32¹², 257, S₃₂, 2, 7), using extracting embedded OOA based on (5, 12, 257)-net in base 32, using

base change [i] based on (3, 10, 257)-net in base 64, using
- 2 times m-reduction [i] based on (3, 12, 257)-net in base 64, using
  - base change [i] based on digital (0, 9, 257)-net over F₂₅₆, using
    - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(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(32⁷⁶, 4194558, S₃₂, 2, 14)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(32⁸¹, 4194558, S₃₂, 2, 15)	[i]		(u,Â u+v)-Construction for OOAs