MinT - Information on Result #2628716

Information on Result #2628716

Linear OOA(3²⁴³, 99, F₃, 3, 132) (dual of [(99, 3), 54, 133]-NRT-code), using strength reduction based on linear OOA(3²⁴³, 99, F₃, 3, 133) (dual of [(99, 3), 54, 134]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(9⁷², 33, F₉, 3, 66) (dual of [(33, 3), 27, 67]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9⁷², 34, F₉, 3, 66) (dual of [(34, 3), 30, 67]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,35P) [i] based on function field F/F₉ with g(F) = 6 and N(F) ≥ 34, using
      - a function field by SÃ©mirat [i]
2. linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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.