MinT - Information on Result #887726

Information on Result #887726

Linear OOA(3⁷⁴, 128, F₃, 2, 24) (dual of [(128, 2), 182, 25]-NRT-code), using extracting embedded OOA based on digital (50, 74, 128)-net over F₃, using

trace code for nets [i] based on digital (13, 37, 64)-net over F₉, using
- net from sequence [i] based on digital (13, 63)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
    - a function field by GarcÃa and Quoos [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(3⁷⁶, 129, F₃, 2, 24) (dual of [(129, 2), 182, 25]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3⁷⁵, 128, F₃, 2, 24) (dual of [(128, 2), 181, 25]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3⁷⁴, 64, F₃, 3, 24) (dual of [(64, 3), 118, 25]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3⁷⁴, 64, F₃, 4, 24) (dual of [(64, 4), 182, 25]-NRT-code)	[i]		OOA Folding