MinT - Information on Result #2633282

Information on Result #2633282

Linear OOA(4¹⁸⁰, 62, F₄, 3, 149) (dual of [(62, 3), 6, 150]-NRT-code), using strength reduction based on linear OOA(4¹⁸⁰, 62, F₄, 3, 150) (dual of [(62, 3), 6, 151]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁷, 21, F₄, 3, 50) (dual of [(21, 3), 6, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹¹⁷, 41, F₄, 3, 99) (dual of [(41, 3), 6, 100]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,8P) [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(4⁷⁵, 27, F₄, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,15P) [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.