MinT - Information on Result #1025252

Information on Result #1025252

Linear OOA(2¹²⁸, 46, F₂, 3, 70) (dual of [(46, 3), 10, 71]-NRT-code), using juxtaposition based on

linear OOA(2²⁰, 10, F₂, 3, 14) (dual of [(10, 3), 10, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2⁹⁸, 36, F₂, 3, 55) (dual of [(36, 3), 10, 56]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴², 17, F₂, 3, 27) (dual of [(17, 3), 9, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [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(2⁵⁶, 19, F₂, 3, 55) (dual of [(19, 3), 1, 56]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁶, 19, F₂, 3, 56) (dual of [(19, 3), 1, 57]-NRT-code), using
      - dual of repetition NRT-code with length 19 [i]

Mode: Constructive and linear.

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