MinT - Information on Result #1020664

Information on Result #1020664

Linear OOA(3²⁰⁹, 78, F₃, 3, 122) (dual of [(78, 3), 25, 123]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵⁵, 26, F₃, 3, 40) (dual of [(26, 3), 23, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁵, 27, F₃, 3, 40) (dual of [(27, 3), 26, 41]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,40P) [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(3⁷⁶, 26, F₃, 3, 61) (dual of [(26, 3), 2, 62]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁷⁶, 27, F₃, 3, 61) (dual of [(27, 3), 5, 62]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,19P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
linear OOA(3⁷⁸, 26, F₃, 3, 78) (dual of [(26, 3), 0, 79]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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