MinT - Information on Result #910061

Information on Result #910061

Linear OOA(5¹³², 68, F₅, 2, 109) (dual of [(68, 2), 4, 110]-NRT-code), using juxtaposition based on

linear OOA(5¹⁶, 10, F₅, 2, 15) (dual of [(10, 2), 4, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(5¹¹², 58, F₅, 2, 93) (dual of [(58, 2), 4, 94]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(5¹⁶, 10, F₅, 2, 15) (dual of [(10, 2), 4, 16]-NRT-code) (see above)
  2. linear OOA(5⁹², 48, F₅, 2, 77) (dual of [(48, 2), 4, 78]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(5²⁸, 16, F₅, 2, 25) (dual of [(16, 2), 4, 26]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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