MinT - Information on Result #906157

Information on Result #906157

Linear OOA(3⁶⁴, 36, F₃, 2, 41) (dual of [(36, 2), 8, 42]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3¹⁷, 12, F₃, 2, 13) (dual of [(12, 2), 7, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3²³, 12, F₃, 2, 20) (dual of [(12, 2), 1, 21]-NRT-code), using
- strength reduction [i] based on linear OOA(3²³, 12, F₃, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
  - dual of repetition NRT-code with length 12 [i]
linear OOA(3²⁴, 12, F₃, 2, 24) (dual of [(12, 2), 0, 25]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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