MinT - Information on Result #859559

Information on Result #859559

Linear OOA(16⁹⁰, 53, F₁₆, 2, 64) (dual of [(53, 2), 16, 65]-NRT-code), using OOA 2-folding based on linear OA(16⁹⁰, 106, F₁₆, 64) (dual of [106, 16, 65]-code), using

discarding factors / shortening the dual code based on linear OA(16⁹⁰, 107, F₁₆, 64) (dual of [107, 17, 65]-code), using
- juxtaposition [i] based on
  1. linear OA(16²⁵, 42, F₁₆, 21) (dual of [42, 17, 22]-code), using
    - discarding factors / shortening the dual code based on linear OA(16²⁵, 45, F₁₆, 21) (dual of [45, 20, 22]-code), using
      - extended algebraic-geometric code AG_e(F,23P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
        a function field by GarcÃa and Quoos [i]
  2. linear OA(16⁴⁸, 65, F₁₆, 42) (dual of [65, 17, 43]-code), using
    - extended algebraic-geometric code AG_e(F,22P) [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.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.