MinT - Information on Result #1025246

Information on Result #1025246

Linear OOA(2²¹⁷, 76, F₂, 3, 116) (dual of [(76, 3), 11, 117]-NRT-code), using juxtaposition based on

linear OOA(2⁵², 21, F₂, 3, 31) (dual of [(21, 3), 11, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵⁴, 55, F₂, 3, 84) (dual of [(55, 3), 11, 85]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁴⁹, 20, F₂, 3, 30) (dual of [(20, 3), 11, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.

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