MinT - Information on Result #1009986

Information on Result #1009986

Linear OOA(2¹⁵², 54, F₂, 3, 81) (dual of [(54, 3), 10, 82]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷¹, 27, F₂, 3, 40) (dual of [(27, 3), 10, 41]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁷¹, 27, F₂, 3, 41) (dual of [(27, 3), 10, 42]-NRT-code), using
  - juxtaposition [i] based on
    1. 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]
    2. 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]
linear OOA(2⁸¹, 27, F₂, 3, 81) (dual of [(27, 3), 0, 82]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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