MinT - Information on Result #1174957

Information on Result #1174957

Linear OOA(2²⁴³, 144, F₂, 8, 70) (dual of [(144, 8), 909, 71]-NRT-code), using extracting embedded OOA based on digital (173, 243, 144)-net over F₂, using

trace code for nets [i] based on digital (11, 81, 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(2²⁴³, 144, F₂, 8, 69) (dual of [(144, 8), 909, 70]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁴³, 144, F₂, 8, 68) (dual of [(144, 8), 909, 69]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2²⁵¹, 145, F₂, 8, 70) (dual of [(145, 8), 909, 71]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2²⁴⁴, 144, F₂, 8, 70) (dual of [(144, 8), 908, 71]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2²⁴⁵, 144, F₂, 8, 70) (dual of [(144, 8), 907, 71]-NRT-code)	[i]
6	Linear OOA(2²⁴⁷, 144, F₂, 8, 70) (dual of [(144, 8), 905, 71]-NRT-code)	[i]
7	Linear OOA(2²⁴⁸, 144, F₂, 8, 70) (dual of [(144, 8), 904, 71]-NRT-code)	[i]
8	Linear OOA(2²⁵⁰, 144, F₂, 8, 70) (dual of [(144, 8), 902, 71]-NRT-code)	[i]