MinT - Information on Result #1086558

Information on Result #1086558

Linear OOA(2²⁶⁰, 69, F₂, 4, 156) (dual of [(69, 4), 16, 157]-NRT-code), using juxtaposition based on

linear OOA(2⁵², 17, F₂, 4, 37) (dual of [(17, 4), 16, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,30P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹², 52, F₂, 4, 118) (dual of [(52, 4), 16, 119]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹⁹², 52, F₂, 4, 119) (dual of [(52, 4), 16, 120]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁶⁰, 19, F₂, 4, 41) (dual of [(19, 4), 16, 42]-NRT-code), using
      - algebraic-geometric NRT-code AG(4;F,34P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(2¹¹⁶, 33, F₂, 4, 77) (dual of [(33, 4), 16, 78]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,54P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.