MinT - Information on Result #1084377

Information on Result #1084377

Linear OOA(3¹⁹⁹, 54, F₃, 4, 143) (dual of [(54, 4), 17, 144]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵⁶, 18, F₃, 4, 47) (dual of [(18, 4), 16, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁶, 19, F₃, 4, 47) (dual of [(19, 4), 20, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,28P) [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(3⁷¹, 18, F₃, 4, 71) (dual of [(18, 4), 1, 72]-NRT-code), using
- dual of repetition NRT-code with length 18 [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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