MinT - Information on Result #1025452

Information on Result #1025452

Linear OOA(2¹³³, 47, F₂, 3, 78) (dual of [(47, 3), 8, 79]-NRT-code), using juxtaposition based on

linear OOA(2¹⁹, 9, F₂, 3, 14) (dual of [(9, 3), 8, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁰⁶, 38, F₂, 3, 63) (dual of [(38, 3), 8, 64]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁶, 8, F₂, 3, 12) (dual of [(8, 3), 8, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁸², 30, F₂, 3, 50) (dual of [(30, 3), 8, 51]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2²², 10, F₂, 3, 16) (dual of [(10, 3), 8, 17]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,13P) [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.