MinT - Information on Result #1084579

Information on Result #1084579

Linear OOA(3²⁰⁹, 69, F₃, 4, 110) (dual of [(69, 4), 67, 111]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁹, 23, F₃, 4, 36) (dual of [(23, 4), 43, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁹, 24, F₃, 4, 36) (dual of [(24, 4), 47, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,59P) [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(3⁶⁸, 23, F₃, 4, 55) (dual of [(23, 4), 24, 56]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁸, 24, F₃, 4, 55) (dual of [(24, 4), 28, 56]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,40P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24 (see above)
linear OOA(3⁹², 23, F₃, 4, 92) (dual of [(23, 4), 0, 93]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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