MinT - Information on Result #909182

Information on Result #909182

Linear OOA(3¹⁶⁹, 87, F₃, 2, 115) (dual of [(87, 2), 5, 116]-NRT-code), using juxtaposition based on

linear OOA(3¹⁵, 10, F₃, 2, 12) (dual of [(10, 2), 5, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁴⁹, 77, F₃, 2, 102) (dual of [(77, 2), 5, 103]-NRT-code), using
- juxtaposition [i] based on
  1. 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]
  2. linear OOA(3¹³⁵, 70, F₃, 2, 93) (dual of [(70, 2), 5, 94]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁶⁵, 35, F₃, 2, 46) (dual of [(35, 2), 5, 47]-NRT-code), using
      - 9 step truncation [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
        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]
        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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