MinT - Information on Result #1084481

Information on Result #1084481

Linear OOA(3¹⁹², 54, F₃, 4, 125) (dual of [(54, 4), 24, 126]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵⁰, 18, F₃, 4, 41) (dual of [(18, 4), 22, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁰, 19, F₃, 4, 41) (dual of [(19, 4), 26, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,34P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3⁷⁰, 18, F₃, 4, 62) (dual of [(18, 4), 2, 63]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3⁷⁰, 36, F₃, 2, 62) (dual of [(36, 2), 2, 63]-NRT-code), using
  - repeating each code word 9 times [i] based on linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [i]
linear OOA(3⁷², 18, F₃, 4, 72) (dual of [(18, 4), 0, 73]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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