MinT - Information on Result #1020844

Information on Result #1020844

Linear OOA(3¹⁷⁷, 69, F₃, 3, 99) (dual of [(69, 3), 30, 100]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁶, 23, F₃, 3, 33) (dual of [(23, 3), 23, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁶, 24, F₃, 3, 33) (dual of [(24, 3), 26, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,38P) [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(3⁶², 23, F₃, 3, 49) (dual of [(23, 3), 7, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶², 24, F₃, 3, 49) (dual of [(24, 3), 10, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24 (see above)
linear OOA(3⁶⁹, 23, F₃, 3, 69) (dual of [(23, 3), 0, 70]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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