MinT - Information on Result #2473441

Information on Result #2473441

Linear OOA(4²¹⁹, 137, F₄, 2, 118) (dual of [(137, 2), 55, 119]-NRT-code), using 1 step truncation based on linear OOA(4²²⁰, 138, F₄, 2, 119) (dual of [(138, 2), 56, 120]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16⁶⁴, 46, F₁₆, 2, 59) (dual of [(46, 2), 28, 60]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16⁶⁴, 48, F₁₆, 2, 59) (dual of [(48, 2), 32, 60]-NRT-code), using
    - algebraic-geometric NRT-code AG(2;F,36P) [i] based on function field F/F₁₆ with g(F) = 5 and N(F) ≥ 49, using
      - a function field by SÃ©mirat [i]
2. linear OA(4¹, 3, F₄, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.