MinT - Information on Result #908564

Information on Result #908564

Linear OOA(2²²⁰, 114, F₂, 2, 112) (dual of [(114, 2), 8, 113]-NRT-code), using juxtaposition based on

linear OOA(2¹², 10, F₂, 2, 8) (dual of [(10, 2), 8, 9]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2²⁰⁰, 104, F₂, 2, 103) (dual of [(104, 2), 8, 104]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁰⁰, 108, F₂, 2, 103) (dual of [(108, 2), 16, 104]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(2²⁰⁴, 110, F₂, 2, 107) (dual of [(110, 2), 16, 108]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(16¹⁸, 22, F₁₆, 17) (dual of [22, 4, 18]-code), using
        discarding factors / shortening the dual code based on linear OA(16¹⁸, 24, F₁₆, 17) (dual of [24, 6, 18]-code), using
        extended algebraic-geometric code AG_e(F,6P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
        a function field by SÃ©mirat [i]
      2. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;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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None.