MinT - Information on Result #908662

Information on Result #908662

Linear OOA(2¹⁴⁰, 73, F₂, 2, 74) (dual of [(73, 2), 6, 75]-NRT-code), using juxtaposition based on

linear OOA(2⁶, 6, F₂, 2, 4) (dual of [(6, 2), 6, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹²⁸, 67, F₂, 2, 69) (dual of [(67, 2), 6, 70]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹²⁸, 69, F₂, 2, 69) (dual of [(69, 2), 10, 70]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4¹⁸, 23, F₄, 13) (dual of [23, 5, 14]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹⁸, 24, F₄, 13) (dual of [24, 6, 14]-code), using
        a quasi-cyclic code by Gulliver and Bhargava [i]
    2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [i]

Mode: Constructive and linear.

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