MinT - Information on Result #1021065

Information on Result #1021065

Linear OOA(3¹⁶³, 74, F₃, 3, 74) (dual of [(74, 3), 59, 75]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3³⁷, 24, F₃, 3, 24) (dual of [(24, 3), 35, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,47P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
  - a function field by SÃ©mirat [i]
linear OOA(3⁵², 25, F₃, 3, 37) (dual of [(25, 3), 23, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵², 27, F₃, 3, 37) (dual of [(27, 3), 29, 38]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,43P) [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(3⁷⁴, 25, F₃, 3, 74) (dual of [(25, 3), 1, 75]-NRT-code), using
- dual of repetition NRT-code with length 25 [i]

Mode: Constructive and linear.

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