MinT - Information on Result #1020600

Information on Result #1020600

Linear OOA(3²⁴⁸, 93, F₃, 3, 137) (dual of [(93, 3), 31, 138]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁶⁶, 31, F₃, 3, 45) (dual of [(31, 3), 27, 46]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,47P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁸⁹, 31, F₃, 3, 68) (dual of [(31, 3), 4, 69]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁸⁹, 32, F₃, 3, 68) (dual of [(32, 3), 7, 69]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32 (see above)
linear OOA(3⁹³, 31, F₃, 3, 93) (dual of [(31, 3), 0, 94]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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