MinT - Information on Result #1020943

Information on Result #1020943

Linear OOA(3¹⁷⁸, 75, F₃, 3, 89) (dual of [(75, 3), 47, 90]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁴, 25, F₃, 3, 29) (dual of [(25, 3), 31, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁴, 27, F₃, 3, 29) (dual of [(27, 3), 37, 30]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,51P) [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(3⁵⁹, 25, F₃, 3, 44) (dual of [(25, 3), 16, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁹, 27, F₃, 3, 44) (dual of [(27, 3), 22, 45]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,36P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
linear OOA(3⁷⁵, 25, F₃, 3, 75) (dual of [(25, 3), 0, 76]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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