MinT - Information on Result #1026155

Information on Result #1026155

Linear OOA(3²¹⁹, 77, F₃, 3, 154) (dual of [(77, 3), 12, 155]-NRT-code), using juxtaposition based on

linear OOA(3⁵¹, 21, F₃, 3, 38) (dual of [(21, 3), 12, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵¹, 23, F₃, 3, 38) (dual of [(23, 3), 18, 39]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,30P) [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(3¹⁵⁶, 56, F₃, 3, 115) (dual of [(56, 3), 12, 116]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷², 28, F₃, 3, 57) (dual of [(28, 3), 12, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [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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