MinT - Information on Result #1830332

Information on Result #1830332

OOA(27⁷⁶, 370, S₂₇, 2, 41), using extracting embedded OOA based on (35, 76, 370)-net in base 27, using

base change [i] based on digital (16, 57, 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(27⁷⁶, 370, S₂₇, 2, 40)	[i]		Strength Reduction for OOAs
2	OOA(27⁷⁸, 371, S₂₇, 2, 41)	[i]		NRT-Code Embedding in Larger Space
3	OOA(27⁸⁰, 372, S₂₇, 2, 41)	[i]
4	OOA(27⁸², 373, S₂₇, 2, 41)	[i]
5	OOA(27⁷⁷, 370, S₂₇, 2, 41)	[i]		OOA Duplication
6	OOA(27⁹⁶, 398, S₂₇, 2, 41)	[i]		(u,Â u+v)-Construction for OOAs
7	OOA(27⁹⁷, 408, S₂₇, 2, 41)	[i]
8	OOA(27⁹⁸, 418, S₂₇, 2, 41)	[i]
9	OOA(27⁹⁹, 422, S₂₇, 2, 41)	[i]
10	OOA(27¹⁰⁰, 434, S₂₇, 2, 41)	[i]
11	OOA(27¹⁰¹, 438, S₂₇, 2, 41)	[i]
12	OOA(27¹⁰², 446, S₂₇, 2, 41)	[i]