MinT - Information on Result #2680584

Information on Result #2680584

Linear OOA(3²³⁸, 642, F₃, 3, 53) (dual of [(642, 3), 1688, 54]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(3²³², 640, F₃, 3, 53) (dual of [(640, 3), 1688, 54]-NRT-code), using

extracting embedded OOA [i] based on digital (179, 232, 640)-net over F₃, using
- trace code for nets [i] based on digital (5, 58, 160)-net over F₈₁, using
  - net from sequence [i] based on digital (5, 159)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 5 and N(F) ≥ 160, 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(3²³⁹, 642, F₃, 3, 53) (dual of [(642, 3), 1687, 54]-NRT-code)	[i]		OOA Duplication