MinT - Information on Result #910044

Information on Result #910044

Linear OOA(5¹⁴⁸, 76, F₅, 2, 121) (dual of [(76, 2), 4, 122]-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(5¹³⁶, 70, F₅, 2, 112) (dual of [(70, 2), 4, 113]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(5⁸, 6, F₅, 2, 8) (dual of [(6, 2), 4, 9]-NRT-code) (see above)
  2. linear OOA(5¹²⁴, 64, F₅, 2, 103) (dual of [(64, 2), 4, 104]-NRT-code), using
    - repeating each code word 4 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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