MinT - Information on Result #915236

Information on Result #915236

Linear OOA(2²⁵³, 294, F₂, 2, 57) (dual of [(294, 2), 335, 58]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(32³¹, 49, F₃₂, 2, 28) (dual of [(49, 2), 67, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32³¹, 64, F₃₂, 2, 28) (dual of [(64, 2), 97, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,99P) [i] based on function field F/F₃₂ with g(F) = 3 and N(F) ≥ 64, using
    - a function field by SÃ©mirat [i]
linear OA(2¹, 6, F₂, 1) (dual of [6, 5, 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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