MinT - Information on Result #909555

Information on Result #909555

Linear OOA(4¹³⁶, 72, F₄, 2, 96) (dual of [(72, 2), 8, 97]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁶, 27, F₄, 2, 36) (dual of [(27, 2), 8, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,17P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4⁸², 45, F₄, 2, 59) (dual of [(45, 2), 8, 60]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(4²³, 15, F₄, 2, 19) (dual of [(15, 2), 7, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4²⁹, 15, F₄, 2, 29) (dual of [(15, 2), 1, 30]-NRT-code), using
    - dual of repetition NRT-code with length 15 [i]
  3. linear OOA(4³⁰, 15, F₄, 2, 30) (dual of [(15, 2), 0, 31]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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