MinT - Information on Result #641871

Information on Result #641871

Linear OA(16⁸⁵, 108, F₁₆, 53) (dual of [108, 23, 54]-code), using juxtaposition based on

linear OA(16²⁰, 43, F₁₆, 16) (dual of [43, 23, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(16²⁰, 45, F₁₆, 16) (dual of [45, 25, 17]-code), using
  - extended algebraic-geometric code AG_e(F,28P) [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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