MinT - Information on Result #1112541

Information on Result #1112541

Linear OOA(3¹⁷², 80, F₃, 5, 78) (dual of [(80, 5), 228, 79]-NRT-code), using extracting embedded OOA based on digital (94, 172, 80)-net over F₃, using

trace code for nets [i] based on digital (8, 86, 40)-net over F₉, using
- net from sequence [i] based on digital (8, 39)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40, 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(3¹⁷², 80, F₃, 5, 77) (dual of [(80, 5), 228, 78]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁷², 80, F₃, 5, 76) (dual of [(80, 5), 228, 77]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(3¹⁷⁷, 81, F₃, 5, 78) (dual of [(81, 5), 228, 79]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(3¹⁷³, 80, F₃, 5, 78) (dual of [(80, 5), 227, 79]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(3¹⁷⁵, 80, F₃, 5, 78) (dual of [(80, 5), 225, 79]-NRT-code)	[i]		OOA Duplication