MinT - Information on Result #1027331

Information on Result #1027331

Linear OOA(4²¹², 73, F₄, 3, 173) (dual of [(73, 3), 7, 174]-NRT-code), using juxtaposition based on

linear OOA(4⁵⁰, 19, F₄, 3, 43) (dual of [(19, 3), 7, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁵⁰, 21, F₄, 3, 43) (dual of [(21, 3), 13, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,19P) [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(4¹⁵⁵, 54, F₄, 3, 129) (dual of [(54, 3), 7, 130]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4⁷⁴, 27, F₄, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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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