MinT - Information on Result #906132

Information on Result #906132

Linear OOA(3⁸⁵, 45, F₃, 2, 59) (dual of [(45, 2), 5, 60]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3²⁶, 15, F₃, 2, 19) (dual of [(15, 2), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁶, 16, F₃, 2, 19) (dual of [(16, 2), 6, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3²⁹, 15, F₃, 2, 29) (dual of [(15, 2), 1, 30]-NRT-code), using
- dual of repetition NRT-code with length 15 [i]
linear OOA(3³⁰, 15, F₃, 2, 30) (dual of [(15, 2), 0, 31]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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