MinT - Information on Result #1026463

Information on Result #1026463

Linear OOA(3²⁰⁷, 71, F₃, 3, 160) (dual of [(71, 3), 6, 161]-NRT-code), using juxtaposition based on

linear OOA(3³⁹, 15, F₃, 3, 32) (dual of [(15, 3), 6, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁹, 16, F₃, 3, 32) (dual of [(16, 3), 9, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,15P) [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(3¹⁶², 56, F₃, 3, 127) (dual of [(56, 3), 6, 128]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷⁸, 28, F₃, 3, 63) (dual of [(28, 3), 6, 64]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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