MinT - Information on Result #1020956

Information on Result #1020956

Linear OOA(3¹⁸⁰, 78, F₃, 3, 87) (dual of [(78, 3), 54, 88]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁴, 26, F₃, 3, 29) (dual of [(26, 3), 34, 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(3⁵⁸, 26, F₃, 3, 43) (dual of [(26, 3), 20, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁸, 27, F₃, 3, 43) (dual of [(27, 3), 23, 44]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,37P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
linear OOA(3⁷⁸, 26, F₃, 3, 78) (dual of [(26, 3), 0, 79]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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