MinT - Information on Result #1025520

Information on Result #1025520

Linear OOA(2²²¹, 76, F₂, 3, 134) (dual of [(76, 3), 7, 135]-NRT-code), using juxtaposition based on

linear OOA(2¹⁴, 7, F₂, 3, 11) (dual of [(7, 3), 7, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²⁰⁰, 69, F₂, 3, 122) (dual of [(69, 3), 7, 123]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁰⁰, 72, F₂, 3, 122) (dual of [(72, 3), 16, 123]-NRT-code), using
  - 9 step truncation [i] based on linear OOA(2²⁰⁹, 75, F₂, 3, 131) (dual of [(75, 3), 16, 132]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(16¹¹, 15, F₁₆, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,16)), using
        discarding factors / shortening the dual code based on linear OA(16¹¹, 16, F₁₆, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
        Reedâ€“Solomon code RS(5,16) [i]
      2. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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