MinT - Information on Result #1830101

Information on Result #1830101

OOA(27¹⁰, 82, S₂₇, 2, 7), using extracting embedded OOA based on (3, 10, 82)-net in base 27, using

2 times m-reduction [i] based on (3, 12, 82)-net in base 27, using
- base change [i] based on digital (0, 9, 82)-net over F₈₁, using
  - net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
      - the rational function field F₈₁(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(27⁵⁰, 9925, S₂₇, 2, 14)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(27⁶³, 265804, S₂₇, 2, 14)	[i]
3	OOA(27⁷⁶, 4194383, S₂₇, 2, 14)	[i]
4	OOA(27⁵³, 9925, S₂₇, 2, 15)	[i]
5	OOA(27⁶⁷, 265804, S₂₇, 2, 15)	[i]
6	OOA(27⁸¹, 4194383, S₂₇, 2, 15)	[i]