MinT - Information on Result #1084333

Information on Result #1084333

Linear OOA(3²⁴³, 66, F₃, 4, 167) (dual of [(66, 4), 21, 168]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁶⁸, 22, F₃, 4, 55) (dual of [(22, 4), 20, 56]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁸, 24, F₃, 4, 55) (dual of [(24, 4), 28, 56]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,40P) [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(3⁸⁷, 22, F₃, 4, 83) (dual of [(22, 4), 1, 84]-NRT-code), using
- strength reduction [i] based on linear OOA(3⁸⁷, 22, F₃, 4, 87) (dual of [(22, 4), 1, 88]-NRT-code), using
  - dual of repetition NRT-code with length 22 [i]
linear OOA(3⁸⁸, 22, F₃, 4, 88) (dual of [(22, 4), 0, 89]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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