MinT - Information on Result #2466709

Information on Result #2466709

Linear OOA(3¹⁷⁹, 113, F₃, 2, 88) (dual of [(113, 2), 47, 89]-NRT-code), using 1 step truncation based on linear OOA(3¹⁸⁰, 114, F₃, 2, 89) (dual of [(114, 2), 48, 90]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(9⁵², 38, F₉, 2, 44) (dual of [(38, 2), 24, 45]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9⁵², 39, F₉, 2, 44) (dual of [(39, 2), 26, 45]-NRT-code), using
    - algebraic-geometric NRT-code AG(2;F,33P) [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40, 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.