MinT - Information on Result #1025213

Information on Result #1025213

Linear OOA(2¹⁸¹, 64, F₂, 3, 96) (dual of [(64, 3), 11, 97]-NRT-code), using juxtaposition based on

linear OOA(2³⁴, 15, F₂, 3, 21) (dual of [(15, 3), 11, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,23P) [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(2¹³⁶, 49, F₂, 3, 74) (dual of [(49, 3), 11, 75]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³¹, 14, F₂, 3, 20) (dual of [(14, 3), 11, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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(2⁹⁴, 35, F₂, 3, 53) (dual of [(35, 3), 11, 54]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁴¹, 17, F₂, 3, 26) (dual of [(17, 3), 10, 27]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2⁵³, 18, F₂, 3, 53) (dual of [(18, 3), 1, 54]-NRT-code), using
        dual of repetition NRT-code with length 18 [i]

Mode: Constructive and linear.

None.

None.