MinT - Information on Result #1084457

Information on Result #1084457

Linear OOA(3²³⁵, 74, F₃, 4, 129) (dual of [(74, 4), 61, 130]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵⁶, 24, F₃, 4, 43) (dual of [(24, 4), 40, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,52P) [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(3⁷⁹, 25, F₃, 4, 64) (dual of [(25, 4), 21, 65]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁷⁹, 28, F₃, 4, 64) (dual of [(28, 4), 33, 65]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,47P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰⁰, 25, F₃, 4, 100) (dual of [(25, 4), 0, 101]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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