MinT - Information on Result #641870

Information on Result #641870

Linear OA(16⁸⁴, 107, F₁₆, 52) (dual of [107, 23, 53]-code), using juxtaposition based on

linear OA(16¹⁹, 42, F₁₆, 15) (dual of [42, 23, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(16¹⁹, 45, F₁₆, 15) (dual of [45, 26, 16]-code), using
  - extended algebraic-geometric code AG_e(F,29P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
    - a function field by GarcÃa and Quoos [i]
linear OA(16⁴², 65, F₁₆, 36) (dual of [65, 23, 37]-code), using
- extended algebraic-geometric code AG_e(F,28P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
  - the Hermitian function field over F₁₆ [i]

Mode: Constructive and linear.

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