MinT - Information on Result #2679177

Information on Result #2679177

Linear OOA(3⁹⁹, 81, F₃, 3, 40) (dual of [(81, 3), 144, 41]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3⁹⁶, 80, F₃, 3, 40) (dual of [(80, 3), 144, 41]-NRT-code), using

extracting embedded OOA [i] based on digital (56, 96, 80)-net over F₃, using
- trace code for nets [i] based on digital (8, 48, 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(3¹⁰⁰, 81, F₃, 3, 40) (dual of [(81, 3), 143, 41]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹⁰¹, 81, F₃, 3, 40) (dual of [(81, 3), 142, 41]-NRT-code)	[i]		OOA Duplication