MinT - Information on Result #906134

Information on Result #906134

Linear OOA(3¹³⁰, 78, F₃, 2, 59) (dual of [(78, 2), 26, 60]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3³⁴, 26, F₃, 2, 19) (dual of [(26, 2), 18, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁴, 27, F₃, 2, 19) (dual of [(27, 2), 20, 20]-NRT-code), using
  - algebraic-geometric NRT-code AG(2;F,34P) [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(3⁴⁴, 26, F₃, 2, 29) (dual of [(26, 2), 8, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁴, 27, F₃, 2, 29) (dual of [(27, 2), 10, 30]-NRT-code), using
  - algebraic-geometric NRT-code AG(2;F,24P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
linear OOA(3⁵², 26, F₃, 2, 52) (dual of [(26, 2), 0, 53]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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