MinT - Information on Result #1011317

Information on Result #1011317

Linear OOA(3¹⁷⁴, 72, F₃, 3, 82) (dual of [(72, 3), 42, 83]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁶⁷, 36, F₃, 3, 41) (dual of [(36, 3), 41, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,66P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
  - an explicitly constructive algebraic function field [i]
- algebraic-geometric NRT-code AG(3;F,33P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰⁷, 36, F₃, 3, 82) (dual of [(36, 3), 1, 83]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁰⁷, 38, F₃, 3, 82) (dual of [(38, 3), 7, 83]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹⁰⁷, 38, F₃, 3, 83) (dual of [(38, 3), 7, 84]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁵⁰, 19, F₃, 3, 41) (dual of [(19, 3), 7, 42]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.