MinT - Information on Result #2470580

Information on Result #2470580

Linear OOA(4¹⁸⁹, 99, F₄, 2, 137) (dual of [(99, 2), 9, 138]-NRT-code), using 1 step truncation based on linear OOA(4¹⁹⁰, 100, F₄, 2, 138) (dual of [(100, 2), 10, 139]-NRT-code), using

strength reduction [i] based on linear OOA(4¹⁹⁰, 100, F₄, 2, 139) (dual of [(100, 2), 10, 140]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16³⁵, 20, F₁₆, 2, 34) (dual of [(20, 2), 5, 35]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16³⁵, 24, F₁₆, 2, 34) (dual of [(24, 2), 13, 35]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
        a function field by SÃ©mirat [i]
  2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
    - extended Reedâ€“Solomon code RS_e(2,4) [i]
    - Simplex code S(2,4) [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.