MinT - Information on Result #1084619

Information on Result #1084619

Linear OOA(3²¹⁸, 78, F₃, 4, 103) (dual of [(78, 4), 94, 104]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁹, 26, F₃, 4, 34) (dual of [(26, 4), 55, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁹, 28, F₃, 4, 34) (dual of [(28, 4), 63, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,77P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3⁶⁶, 26, F₃, 4, 51) (dual of [(26, 4), 38, 52]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁶, 28, F₃, 4, 51) (dual of [(28, 4), 46, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,60P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
linear OOA(3¹⁰³, 26, F₃, 4, 103) (dual of [(26, 4), 1, 104]-NRT-code), using
- dual of repetition NRT-code with length 26 [i]

Mode: Constructive and linear.

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