MinT - Information on Result #1020775

Information on Result #1020775

Linear OOA(3²⁴¹, 101, F₃, 3, 109) (dual of [(101, 3), 62, 110]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵¹, 28, F₃, 3, 36) (dual of [(28, 3), 33, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,47P) [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(3⁸⁰, 36, F₃, 3, 54) (dual of [(36, 3), 28, 55]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,53P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹¹⁰, 37, F₃, 3, 109) (dual of [(37, 3), 1, 110]-NRT-code), using
- strength reduction [i] based on linear OOA(3¹¹⁰, 37, F₃, 3, 110) (dual of [(37, 3), 1, 111]-NRT-code), using
  - dual of repetition NRT-code with length 37 [i]

Mode: Constructive and linear.

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