MinT - Information on Result #2630484

Information on Result #2630484

Linear OOA(4¹⁰⁵, 39, F₄, 3, 80) (dual of [(39, 3), 12, 81]-NRT-code), using strength reduction based on linear OOA(4¹⁰⁵, 39, F₄, 3, 81) (dual of [(39, 3), 12, 82]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4²⁴, 12, F₄, 3, 21) (dual of [(12, 3), 12, 22]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4²⁴, 14, F₄, 3, 21) (dual of [(14, 3), 18, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁶⁹, 27, F₄, 3, 59) (dual of [(27, 3), 12, 60]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.