MinT - Information on Result #1025133

Information on Result #1025133

Linear OOA(2¹⁴⁶, 53, F₂, 3, 75) (dual of [(53, 3), 13, 76]-NRT-code), using juxtaposition based on

linear OOA(2²⁶, 13, F₂, 3, 15) (dual of [(13, 3), 13, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁶, 14, F₂, 3, 15) (dual of [(14, 3), 16, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁰⁷, 40, F₂, 3, 59) (dual of [(40, 3), 13, 60]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁸, 20, F₂, 3, 29) (dual of [(20, 3), 12, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,30P) [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(2⁵⁹, 20, F₂, 3, 59) (dual of [(20, 3), 1, 60]-NRT-code), using
    - dual of repetition NRT-code with length 20 [i]

Mode: Constructive and linear.

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