MinT - Information on Result #911779

Information on Result #911779

Linear OOA(2²⁵⁰, 201, F₂, 2, 68) (dual of [(201, 2), 152, 69]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16²⁹, 67, F₁₆, 22) (dual of [67, 38, 23]-code), using
- constructionÂ X applied to AG(F,41P) âŠ‚ AG(F,43P) [i] based on
  1. linear OA(16²⁸, 64, F₁₆, 22) (dual of [64, 36, 23]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [i]
  2. linear OA(16²⁶, 64, F₁₆, 20) (dual of [64, 38, 21]-code), using algebraic-geometric code AG(F,43P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(16¹, 3, F₁₆, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹, s, F₁₆, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]
linear OOA(2², 3, F₂, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;4,2) [i]

Mode: Constructive and linear.

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