MinT - Information on Result #1025308

Information on Result #1025308

Linear OOA(2¹⁹⁷, 69, F₂, 3, 108) (dual of [(69, 3), 10, 109]-NRT-code), using juxtaposition based on

linear OOA(2³⁵, 15, F₂, 3, 22) (dual of [(15, 3), 10, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵², 54, F₂, 3, 85) (dual of [(54, 3), 10, 86]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³², 14, F₂, 3, 21) (dual of [(14, 3), 10, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹¹⁰, 40, F₂, 3, 63) (dual of [(40, 3), 10, 64]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁵⁰, 20, F₂, 3, 31) (dual of [(20, 3), 10, 32]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.