MinT - Information on Result #1020937

Information on Result #1020937

Linear OOA(3¹²⁵, 45, F₃, 3, 89) (dual of [(45, 3), 10, 90]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3³⁶, 15, F₃, 3, 29) (dual of [(15, 3), 9, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁶, 16, F₃, 3, 29) (dual of [(16, 3), 12, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,18P) [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(3⁴⁴, 15, F₃, 3, 44) (dual of [(15, 3), 1, 45]-NRT-code), using
- dual of repetition NRT-code with length 15 [i]
linear OOA(3⁴⁵, 15, F₃, 3, 45) (dual of [(15, 3), 0, 46]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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