MinT - Information on Result #1830123

Information on Result #1830123

OOA(27¹⁹, 116, S₂₇, 2, 12), using extracting embedded OOA based on (7, 19, 116)-net in base 27, using

1 times m-reduction [i] based on (7, 20, 116)-net in base 27, using
- base change [i] based on digital (2, 15, 116)-net over F₈₁, using
  - net from sequence [i] based on digital (2, 115)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 116, using
      - a function field by SÃ©mirat [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(27¹⁹, 116, S₂₇, 2, 11)	[i]		Strength Reduction for OOAs
2	OOA(27²¹, 117, S₂₇, 2, 12)	[i]		NRT-Code Embedding in Larger Space
3	OOA(27⁸⁹, 9959, S₂₇, 2, 24)	[i]		(u,Â u+v)-Construction for OOAs
4	OOA(27⁹⁰, 9961, S₂₇, 2, 24)	[i]
5	OOA(27⁹¹, 9963, S₂₇, 2, 24)	[i]
6	OOA(27⁹², 9959, S₂₇, 2, 25)	[i]
7	OOA(27⁹³, 9961, S₂₇, 2, 25)	[i]
8	OOA(27⁹⁴, 9963, S₂₇, 2, 25)	[i]