MinT - Information on Result #1084510

Information on Result #1084510

Linear OOA(3²¹⁴, 66, F₃, 4, 121) (dual of [(66, 4), 50, 122]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵³, 22, F₃, 4, 40) (dual of [(22, 4), 35, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵³, 24, F₃, 4, 40) (dual of [(24, 4), 43, 41]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,55P) [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(3⁷³, 22, F₃, 4, 60) (dual of [(22, 4), 15, 61]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁷³, 24, F₃, 4, 60) (dual of [(24, 4), 23, 61]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,35P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24 (see above)
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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