MinT - Information on Result #909518

Information on Result #909518

Linear OOA(4⁷², 40, F₄, 2, 52) (dual of [(40, 2), 8, 53]-NRT-code), using juxtaposition based on

linear OOA(4¹⁸, 13, F₄, 2, 15) (dual of [(13, 2), 8, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁸, 14, F₄, 2, 15) (dual of [(14, 2), 10, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
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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