MinT - Information on Result #1025036

Information on Result #1025036

Linear OOA(2¹⁵⁴, 57, F₂, 3, 71) (dual of [(57, 3), 17, 72]-NRT-code), using juxtaposition based on

linear OOA(2³⁴, 17, F₂, 3, 19) (dual of [(17, 3), 17, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁰³, 40, F₂, 3, 51) (dual of [(40, 3), 17, 52]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁴, 20, F₂, 3, 25) (dual of [(20, 3), 16, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,34P) [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, 51) (dual of [(20, 3), 1, 52]-NRT-code), using
    - strength reduction [i] based on 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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