MinT - Information on Result #1175166

Information on Result #1175166

Linear OOA(2²⁵⁵, 144, F₂, 8, 74) (dual of [(144, 8), 897, 75]-NRT-code), using extracting embedded OOA based on digital (181, 255, 144)-net over F₂, using

trace code for nets [i] based on digital (11, 85, 48)-net over F₈, using
- net from sequence [i] based on digital (11, 47)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, 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(2²⁵⁵, 144, F₂, 8, 73) (dual of [(144, 8), 897, 74]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁵⁵, 144, F₂, 8, 72) (dual of [(144, 8), 897, 73]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2²⁵⁶, 144, F₂, 8, 74) (dual of [(144, 8), 896, 75]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2²⁵⁷, 144, F₂, 8, 74) (dual of [(144, 8), 895, 75]-NRT-code)	[i]
5	Linear OOA(2²⁵⁹, 144, F₂, 8, 74) (dual of [(144, 8), 893, 75]-NRT-code)	[i]
6	Linear OOA(2²⁶⁰, 144, F₂, 8, 74) (dual of [(144, 8), 892, 75]-NRT-code)	[i]