MinT - Information on Result #909542

Information on Result #909542

Linear OOA(4¹⁴⁰, 74, F₄, 2, 99) (dual of [(74, 2), 8, 100]-NRT-code), using juxtaposition based on

linear OOA(4³², 20, F₄, 2, 25) (dual of [(20, 2), 8, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³², 21, F₄, 2, 25) (dual of [(21, 2), 10, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁰⁰, 54, F₄, 2, 73) (dual of [(54, 2), 8, 74]-NRT-code), using
- repeating each code word 2 times [i] 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]

Mode: Constructive and linear.

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