MinT - Information on Result #2680398

Information on Result #2680398

Linear OOA(3¹²³, 81, F₃, 3, 52) (dual of [(81, 3), 120, 53]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹²⁰, 80, F₃, 3, 52) (dual of [(80, 3), 120, 53]-NRT-code), using

extracting embedded OOA [i] based on digital (68, 120, 80)-net over F₃, using
- trace code for nets [i] based on digital (8, 60, 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(3¹²⁴, 81, F₃, 3, 52) (dual of [(81, 3), 119, 53]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹²⁵, 81, F₃, 3, 52) (dual of [(81, 3), 118, 53]-NRT-code)	[i]		OOA Duplication