MinT - Information on Result #1026954

Information on Result #1026954

Linear OOA(4⁹⁷, 37, F₄, 3, 72) (dual of [(37, 3), 14, 73]-NRT-code), using juxtaposition based on

linear OOA(4³⁴, 16, F₄, 3, 29) (dual of [(16, 3), 14, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³⁴, 17, F₄, 3, 29) (dual of [(17, 3), 17, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4⁴⁹, 21, F₄, 3, 42) (dual of [(21, 3), 14, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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