MinT - Information on Result #906144

Information on Result #906144

Linear OOA(3¹¹⁵, 69, F₃, 2, 53) (dual of [(69, 2), 23, 54]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3³⁰, 23, F₃, 2, 17) (dual of [(23, 2), 16, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁰, 30, F₃, 2, 17) (dual of [(30, 2), 30, 18]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3³⁰, 60, F₃, 17) (dual of [60, 30, 18]-code), using
    - extended quadratic residue code Q_e(60,3) [i]
linear OOA(3³⁹, 23, F₃, 2, 26) (dual of [(23, 2), 7, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁹, 24, F₃, 2, 26) (dual of [(24, 2), 9, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,21P) [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(3⁴⁶, 23, F₃, 2, 46) (dual of [(23, 2), 0, 47]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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