MinT - Information on Result #1084537

Information on Result #1084537

Linear OOA(3²¹⁴, 69, F₃, 4, 116) (dual of [(69, 4), 62, 117]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵¹, 23, F₃, 4, 38) (dual of [(23, 4), 41, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵¹, 24, F₃, 4, 38) (dual of [(24, 4), 45, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,57P) [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(3⁷¹, 23, F₃, 4, 58) (dual of [(23, 4), 21, 59]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁷¹, 24, F₃, 4, 58) (dual of [(24, 4), 25, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,37P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24 (see above)
linear OOA(3⁹², 23, F₃, 4, 92) (dual of [(23, 4), 0, 93]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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