MinT - Information on Result #2813858

Information on Result #2813858

Linear OOA(3²²⁰, 58, F₃, 4, 174) (dual of [(58, 4), 12, 175]-NRT-code), using strength reduction based on linear OOA(3²²⁰, 58, F₃, 4, 175) (dual of [(58, 4), 12, 176]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁹², 26, F₃, 4, 77) (dual of [(26, 4), 12, 78]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹², 27, F₃, 4, 77) (dual of [(27, 4), 16, 78]-NRT-code), using
    - algebraic-geometric NRT-code AG(4;F,30P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹⁶, 32, F₃, 4, 97) (dual of [(32, 4), 12, 98]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,30P) [i] based on function field F/F₃ with g(F) = 19 and N(F) ≥ 32, using
    - a curve from the manYPoints database [i]

Mode: 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.