MinT - Information on Result #2633606

Information on Result #2633606

Linear OOA(4¹⁸⁷, 65, F₄, 3, 149) (dual of [(65, 3), 8, 150]-NRT-code), using strength reduction based on linear OOA(4¹⁸⁷, 65, F₄, 3, 151) (dual of [(65, 3), 8, 152]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁵, 21, F₄, 3, 48) (dual of [(21, 3), 8, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(4¹²⁴, 44, F₄, 3, 102) (dual of [(44, 3), 8, 103]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4⁴³, 17, F₄, 3, 38) (dual of [(17, 3), 8, 39]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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.