MinT - Information on Result #1024976

Information on Result #1024976

Linear OOA(2¹⁴⁹, 57, F₂, 3, 62) (dual of [(57, 3), 22, 63]-NRT-code), using juxtaposition based on

linear OOA(2⁵⁰, 24, F₂, 3, 23) (dual of [(24, 3), 22, 24]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁸, 12, F₂, 3, 11) (dual of [(12, 3), 18, 12]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 18, 12)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2³², 12, F₂, 3, 23) (dual of [(12, 3), 4, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
linear OOA(2⁷⁷, 33, F₂, 3, 38) (dual of [(33, 3), 22, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,60P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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