MinT - Information on Result #1020949

Information on Result #1020949

Linear OOA(3²⁰¹, 90, F₃, 3, 89) (dual of [(90, 3), 69, 90]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁴, 28, F₃, 3, 29) (dual of [(28, 3), 40, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,54P) [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(3⁶⁵, 31, F₃, 3, 44) (dual of [(31, 3), 28, 45]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,48P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁹², 31, F₃, 3, 89) (dual of [(31, 3), 1, 90]-NRT-code), using
- strength reduction [i] based on linear OOA(3⁹², 31, F₃, 3, 92) (dual of [(31, 3), 1, 93]-NRT-code), using
  - dual of repetition NRT-code with length 31 [i]

Mode: Constructive and linear.

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