MinT - Information on Result #629433

Information on Result #629433

Linear OA(2¹⁸⁶, 204, F₂, 71) (dual of [204, 18, 72]-code), using concatenation of two codes based on

linear OA(4⁵⁹, 68, F₄, 35) (dual of [68, 9, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁵⁹, 69, F₄, 35) (dual of [69, 10, 36]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16¹⁸, 23, F₁₆, 17) (dual of [23, 5, 18]-code), using
      - discarding factors / shortening the dual code based on linear OA(16¹⁸, 24, F₁₆, 17) (dual of [24, 6, 18]-code), using
        extended algebraic-geometric code AG_e(F,6P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
        a function field by SÃ©mirat [i]
    2. linear OA(4¹, 3, F₄, 1) (dual of [3, 2, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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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