MinT - Information on Result #2624494

Information on Result #2624494

Linear OOA(3¹⁷⁴, 61, F₃, 3, 125) (dual of [(61, 3), 9, 126]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁴, 61, F₃, 3, 126) (dual of [(61, 3), 9, 127]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²¹, 10, F₃, 3, 18) (dual of [(10, 3), 9, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁴⁴, 51, F₃, 3, 107) (dual of [(51, 3), 9, 108]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹⁴⁴, 51, F₃, 3, 108) (dual of [(51, 3), 9, 109]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(3⁶⁰, 23, F₃, 3, 47) (dual of [(23, 3), 9, 48]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(3⁶⁰, 24, F₃, 3, 47) (dual of [(24, 3), 12, 48]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
        a function field by SÃ©mirat [i]
      2. linear OOA(3⁷⁵, 28, F₃, 3, 60) (dual of [(28, 3), 9, 61]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
        an explicitly constructive algebraic function field [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.