MinT - Information on Result #1830105

Information on Result #1830105

OOA(27¹², 82, S₂₇, 2, 9), using extracting embedded OOA 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(27¹³, 82, S₂₇, 2, 9)	[i]		OOA Duplication
2	OOA(27⁶⁴, 9925, S₂₇, 2, 18)	[i]		(u,Â u+v)-Construction for OOAs
3	OOA(27⁶⁵, 9927, S₂₇, 2, 18)	[i]
4	OOA(27⁸¹, 265804, S₂₇, 2, 18)	[i]
5	OOA(27⁸², 265807, S₂₇, 2, 18)	[i]
6	OOA(27⁹⁸, 4194383, S₂₇, 2, 18)	[i]
7	OOA(27⁶⁷, 9925, S₂₇, 2, 19)	[i]
8	OOA(27⁶⁸, 9927, S₂₇, 2, 19)	[i]
9	OOA(27⁸⁵, 265804, S₂₇, 2, 19)	[i]
10	OOA(27⁸⁶, 265807, S₂₇, 2, 19)	[i]
11	OOA(27¹⁰³, 4194383, S₂₇, 2, 19)	[i]