MinT - Information on Result #914775

Information on Result #914775

Linear OOA(2¹⁹⁴, 205, F₂, 2, 49) (dual of [(205, 2), 216, 50]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(16²⁸, 41, F₁₆, 2, 24) (dual of [(41, 2), 54, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16²⁸, 45, F₁₆, 2, 24) (dual of [(45, 2), 62, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,65P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
    - a function field by GarcÃa and Quoos [i]
linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]

Mode: Constructive and linear.

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