MinT - Information on Result #1025637

Information on Result #1025637

Linear OOA(2¹⁸⁹, 65, F₂, 3, 122) (dual of [(65, 3), 6, 123]-NRT-code), using juxtaposition based on

linear OOA(2¹⁸, 8, F₂, 3, 14) (dual of [(8, 3), 6, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁶⁵, 57, F₂, 3, 107) (dual of [(57, 3), 6, 108]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁵, 7, F₂, 3, 12) (dual of [(7, 3), 6, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁴⁴, 50, F₂, 3, 94) (dual of [(50, 3), 6, 95]-NRT-code), using
    - repeating each code word 5 times [i] based on linear OOA(2²⁴, 10, F₂, 3, 18) (dual of [(10, 3), 6, 19]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.