MinT - Information on Result #1830344

Information on Result #1830344

OOA(27⁷⁹, 370, S₂₇, 2, 43), using extracting embedded OOA based on (36, 79, 370)-net in base 27, using

1 times m-reduction [i] based on (36, 80, 370)-net in base 27, using
- base change [i] based on digital (16, 60, 370)-net over F₈₁, using
  - net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
      - a function field by GarcÃa and Quoos [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(27⁷⁹, 370, S₂₇, 2, 42)	[i]		Strength Reduction for OOAs
2	OOA(27⁸¹, 371, S₂₇, 2, 43)	[i]		NRT-Code Embedding in Larger Space
3	OOA(27⁸³, 372, S₂₇, 2, 43)	[i]		NRT-Code Embedding in Larger Space
4	OOA(27¹⁰⁰, 398, S₂₇, 2, 43)	[i]		(u,Â u+v)-Construction for OOAs
5	OOA(27¹⁰¹, 408, S₂₇, 2, 43)	[i]
6	OOA(27¹⁰², 418, S₂₇, 2, 43)	[i]
7	OOA(27¹⁰³, 422, S₂₇, 2, 43)	[i]
8	OOA(27¹⁰⁴, 434, S₂₇, 2, 43)	[i]
9	OOA(27¹⁰⁵, 438, S₂₇, 2, 43)	[i]