MinT - Information on Result #1020987

Information on Result #1020987

Linear OOA(3¹⁵⁹, 65, F₃, 3, 83) (dual of [(65, 3), 36, 84]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3³⁶, 19, F₃, 3, 27) (dual of [(19, 3), 21, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁵⁴, 23, F₃, 3, 41) (dual of [(23, 3), 15, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁴, 24, F₃, 3, 41) (dual of [(24, 3), 18, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,30P) [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(3⁶⁹, 23, F₃, 3, 69) (dual of [(23, 3), 0, 70]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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