MinT - Information on Result #910042

Information on Result #910042

Linear OOA(5¹⁰⁸, 56, F₅, 2, 88) (dual of [(56, 2), 4, 89]-NRT-code), using juxtaposition based on

linear OOA(5⁸, 6, F₅, 2, 8) (dual of [(6, 2), 4, 9]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;4,5) [i]
linear OOA(5⁹⁶, 50, F₅, 2, 79) (dual of [(50, 2), 4, 80]-NRT-code), using
- strength reduction [i] based on linear OOA(5⁹⁶, 50, F₅, 2, 80) (dual of [(50, 2), 4, 81]-NRT-code), using
  - juxtaposition [i] based on
    1. 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]
    2. linear OOA(5⁶⁴, 34, F₅, 2, 54) (dual of [(34, 2), 4, 55]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(5²⁸, 16, F₅, 2, 25) (dual of [(16, 2), 4, 26]-NRT-code) (see above)
        linear OOA(5³², 18, F₅, 2, 28) (dual of [(18, 2), 4, 29]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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