MinT - Information on Result #1010077

Information on Result #1010077

Linear OOA(2¹⁷³, 60, F₂, 3, 93) (dual of [(60, 3), 7, 94]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁰, 29, F₂, 3, 46) (dual of [(29, 3), 7, 47]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁸⁰, 30, F₂, 3, 46) (dual of [(30, 3), 10, 47]-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(2⁵⁰, 20, F₂, 3, 31) (dual of [(20, 3), 10, 32]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
        an explicitly constructive algebraic function field [i]
linear OOA(2⁹³, 31, F₂, 3, 93) (dual of [(31, 3), 0, 94]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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