MinT - Information on Result #1835302

Information on Result #1835302

OOA(8¹⁸, 258, S₈, 3, 7), using extracting embedded OOA based on (11, 18, 258)-net in base 8, using

trace code for nets [i] based on (2, 9, 129)-net in base 64, using
- 5 times m-reduction [i] based on (2, 14, 129)-net in base 64, using
  - base change [i] based on digital (0, 12, 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]

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(8¹²⁴, 5592660, S₈, 3, 14)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(8¹³², 5592660, S₈, 3, 15)	[i]		(u,Â u+v)-Construction for OOAs