MinT - Information on Result #1084494

Information on Result #1084494

Linear OOA(3²²⁰, 69, F₃, 4, 123) (dual of [(69, 4), 56, 124]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵⁴, 23, F₃, 4, 41) (dual of [(23, 4), 38, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁴, 24, F₃, 4, 41) (dual of [(24, 4), 42, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,54P) [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(3⁷⁴, 23, F₃, 4, 61) (dual of [(23, 4), 18, 62]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁷⁴, 24, F₃, 4, 61) (dual of [(24, 4), 22, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,34P) [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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