MinT - Information on Result #857588

Information on Result #857588

Linear OOA(16⁵⁵, 51, F₁₆, 2, 31) (dual of [(51, 2), 47, 32]-NRT-code), using OOA 2-folding based on linear OA(16⁵⁵, 102, F₁₆, 31) (dual of [102, 47, 32]-code), using

discarding factors / shortening the dual code based on linear OA(16⁵⁵, 103, F₁₆, 31) (dual of [103, 48, 32]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(16¹⁸, 38, F₁₆, 15) (dual of [38, 20, 16]-code), using
    - extended algebraic-geometric code AG_e(F,22P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
      - a function field by SÃ©mirat [i]
  2. linear OA(16³⁷, 65, F₁₆, 31) (dual of [65, 28, 32]-code), using
    - extended algebraic-geometric code AG_e(F,33P) [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.