MinT - Information on Result #1011336

Information on Result #1011336

Linear OOA(3¹⁷², 70, F₃, 3, 84) (dual of [(70, 3), 38, 85]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁶⁸, 36, F₃, 3, 42) (dual of [(36, 3), 40, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,65P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰⁴, 35, F₃, 3, 84) (dual of [(35, 3), 1, 85]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁰⁴, 36, F₃, 3, 84) (dual of [(36, 3), 4, 85]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹⁰⁴, 36, F₃, 3, 86) (dual of [(36, 3), 4, 87]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(3³², 12, F₃, 3, 28) (dual of [(12, 3), 4, 29]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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