MinT - Information on Result #1027483

Information on Result #1027483

Linear OOA(4¹⁴⁰, 48, F₄, 3, 120) (dual of [(48, 3), 4, 121]-NRT-code), using juxtaposition based on

linear OOA(4⁸, 4, F₄, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
- Reedâ€“Solomon NRT-code RS(3;4,4) [i]
linear OOA(4¹²⁸, 44, F₄, 3, 111) (dual of [(44, 3), 4, 112]-NRT-code), using
- 6 step truncation [i] based on linear OOA(4¹³⁴, 46, F₄, 3, 117) (dual of [(46, 3), 4, 118]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4²³, 9, F₄, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
        the Hermitian function field over F₄ [i]
    2. linear OOA(4¹⁰⁷, 37, F₄, 3, 94) (dual of [(37, 3), 4, 95]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(4²³, 9, F₄, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code) (see above)
        linear OOA(4⁸⁰, 28, F₄, 3, 71) (dual of [(28, 3), 4, 72]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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