MinT - Information on Result #1026941

Information on Result #1026941

Linear OOA(4²⁵⁵, 90, F₄, 3, 189) (dual of [(90, 3), 15, 190]-NRT-code), using juxtaposition based on

linear OOA(4⁷⁵, 30, F₄, 3, 62) (dual of [(30, 3), 15, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
  - F₄ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]
linear OOA(4¹⁶⁵, 60, F₄, 3, 126) (dual of [(60, 3), 15, 127]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁶⁶, 27, F₄, 3, 56) (dual of [(27, 3), 15, 57]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4⁸⁴, 33, F₄, 3, 69) (dual of [(33, 3), 15, 70]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.