MinT - Information on Result #2445989

Information on Result #2445989

Linear OOA(4²⁵¹, 128, F₄, 2, 199) (dual of [(128, 2), 5, 200]-NRT-code), using strength reduction based on linear OOA(4²⁵¹, 128, F₄, 2, 200) (dual of [(128, 2), 5, 201]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹³, 9, F₄, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
2. linear OOA(4²³³, 119, F₄, 2, 187) (dual of [(119, 2), 5, 188]-NRT-code), using
  - 1 step truncation [i] based on linear OOA(4²³⁴, 120, F₄, 2, 188) (dual of [(120, 2), 6, 189]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(16²¹, 24, F₁₆, 20) (dual of [24, 3, 21]-code), using
        extended algebraic-geometric code AG_e(F,3P) [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 OOA(4⁸, 5, F₄, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;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.