MinT - Information on Result #1027006

Information on Result #1027006

Linear OOA(4²⁰⁹, 74, F₄, 3, 158) (dual of [(74, 3), 13, 159]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁷, 20, F₄, 3, 40) (dual of [(20, 3), 13, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁷, 21, F₄, 3, 40) (dual of [(21, 3), 16, 41]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(4¹⁴⁹, 54, F₄, 3, 117) (dual of [(54, 3), 13, 118]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4⁶⁸, 27, F₄, 3, 58) (dual of [(27, 3), 13, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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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