MinT - Information on Result #1175085

Information on Result #1175085

Linear OOA(2²⁵⁰, 520, F₂, 8, 41) (dual of [(520, 8), 3910, 42]-NRT-code), using extracting embedded OOA based on digital (209, 250, 520)-net over F₂, using

trace code for nets [i] based on digital (9, 50, 104)-net over F₃₂, using
- net from sequence [i] based on digital (9, 103)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 9 and N(F) ≥ 104, using
    - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

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	Linear OOA(2²⁵⁰, 520, F₂, 8, 40) (dual of [(520, 8), 3910, 41]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁵⁸, 521, F₂, 8, 41) (dual of [(521, 8), 3910, 42]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2²⁵¹, 520, F₂, 8, 41) (dual of [(520, 8), 3909, 42]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2²⁵², 520, F₂, 8, 41) (dual of [(520, 8), 3908, 42]-NRT-code)	[i]
5	Linear OOA(2²⁵³, 520, F₂, 8, 41) (dual of [(520, 8), 3907, 42]-NRT-code)	[i]
6	Linear OOA(2²⁵⁴, 520, F₂, 8, 41) (dual of [(520, 8), 3906, 42]-NRT-code)	[i]
7	Linear OOA(2²⁵⁶, 520, F₂, 8, 41) (dual of [(520, 8), 3904, 42]-NRT-code)	[i]
8	Linear OOA(2²⁵⁷, 520, F₂, 8, 41) (dual of [(520, 8), 3903, 42]-NRT-code)	[i]