MinT - Information on Result #909849

Information on Result #909849

Linear OOA(4²²⁴, 114, F₄, 2, 177) (dual of [(114, 2), 4, 178]-NRT-code), using juxtaposition based on

linear OOA(4¹², 8, F₄, 2, 11) (dual of [(8, 2), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹², 9, F₄, 2, 11) (dual of [(9, 2), 6, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
linear OOA(4²⁰⁸, 106, F₄, 2, 165) (dual of [(106, 2), 4, 166]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4¹², 8, F₄, 2, 11) (dual of [(8, 2), 4, 12]-NRT-code) (see above)
  2. linear OOA(4¹⁹², 98, F₄, 2, 153) (dual of [(98, 2), 4, 154]-NRT-code), using
    - repeating each code word 7 times [i] based on linear OOA(4²⁴, 14, F₄, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;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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