MinT - Information on Result #1025894

Information on Result #1025894

Linear OOA(3²⁴⁵, 89, F₃, 3, 147) (dual of [(89, 3), 22, 148]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁹, 27, F₃, 3, 44) (dual of [(27, 3), 22, 45]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,36P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁴, 62, F₃, 3, 102) (dual of [(62, 3), 22, 103]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵⁶, 26, F₃, 3, 41) (dual of [(26, 3), 22, 42]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3⁵⁶, 27, F₃, 3, 41) (dual of [(27, 3), 25, 42]-NRT-code), using
      - algebraic-geometric NRT-code AG(3;F,39P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  2. linear OOA(3⁸⁶, 36, F₃, 3, 60) (dual of [(36, 3), 22, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,47P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.