MinT - Information on Result #1029372

Information on Result #1029372

Linear OOA(2¹⁵¹, 75, F₂, 3, 57) (dual of [(75, 3), 74, 58]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(4³⁸, 25, F₄, 3, 28) (dual of [(25, 3), 37, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³⁸, 26, F₄, 3, 28) (dual of [(26, 3), 40, 29]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,49P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 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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