MinT - Information on Result #1025323

Information on Result #1025323

Linear OOA(2²²⁴, 78, F₂, 3, 123) (dual of [(78, 3), 10, 124]-NRT-code), using juxtaposition 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]
linear OOA(2¹⁶⁴, 58, F₂, 3, 91) (dual of [(58, 3), 10, 92]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁵⁰, 20, F₂, 3, 31) (dual of [(20, 3), 10, 32]-NRT-code) (see above)
  2. linear OOA(2¹⁰⁴, 38, F₂, 3, 59) (dual of [(38, 3), 10, 60]-NRT-code), using
    - juxtaposition [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, 21, F₂, 3, 32) (dual of [(21, 3), 10, 33]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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