MinT - Information on Result #909163

Information on Result #909163

Linear OOA(3⁸¹, 43, F₃, 2, 56) (dual of [(43, 2), 5, 57]-NRT-code), using juxtaposition based on

linear OOA(3⁹, 7, F₃, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁶⁷, 36, F₃, 2, 47) (dual of [(36, 2), 5, 48]-NRT-code), using
- 7 step truncation [i] based on linear OOA(3⁷⁴, 40, F₃, 2, 54) (dual of [(40, 2), 6, 55]-NRT-code), using
  - strength reduction [i] based on linear OOA(3⁷⁴, 40, F₃, 2, 55) (dual of [(40, 2), 6, 56]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(9⁷, 10, F₉, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,9)), using
        extended Reedâ€“Solomon code RS_e(3,9) [i]
      2. linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [i]

Mode: Constructive and linear.

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