MinT - Information on Result #2681008

Information on Result #2681008

Linear OOA(3¹³⁹, 82, F₃, 3, 58) (dual of [(82, 3), 107, 59]-NRT-code), using 3¹ times duplication based on linear OOA(3¹³⁸, 82, F₃, 3, 58) (dual of [(82, 3), 108, 59]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(3¹³², 80, F₃, 3, 58) (dual of [(80, 3), 108, 59]-NRT-code), using
- extracting embedded OOA [i] based on digital (74, 132, 80)-net over F₃, using
  - trace code for nets [i] based on digital (8, 66, 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

None.