MinT - Information on Result #914140

Information on Result #914140

Linear OOA(2¹⁹⁴, 160, F₂, 2, 59) (dual of [(160, 2), 126, 60]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(8³⁸, 40, F₈, 2, 29) (dual of [(40, 2), 42, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8³⁸, 45, F₈, 2, 29) (dual of [(45, 2), 52, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,60P) [i] based on function field F/F₈ with g(F) = 9 and N(F) ≥ 45, using
    - an explicitly constructive algebraic function field [i]
linear OA(2¹, 4, F₂, 1) (dual of [4, 3, 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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