MinT - Information on Result #941902

Information on Result #941902

Linear OOA(4²¹⁴, 110, F₄, 2, 171) (dual of [(110, 2), 6, 172]-NRT-code), using juxtaposition based on

linear OOA(4³⁴, 20, F₄, 2, 27) (dual of [(20, 2), 6, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³⁴, 21, F₄, 2, 27) (dual of [(21, 2), 8, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,14P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁷⁴, 90, F₄, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
    - Denniston code D(1,16) [i]
  2. linear OOA(4⁸, 5, F₄, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,4) [i]

Mode: Constructive and linear.

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