MinT - Information on Result #806731

Information on Result #806731

Linear OOA(2⁶⁸, 50, F₂, 2, 23) (dual of [(50, 2), 32, 24]-NRT-code), using OOA 2-folding based on linear OA(2⁶⁸, 100, F₂, 23) (dual of [100, 32, 24]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹², 20, F₁₆, 11) (dual of [20, 8, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(16¹², 24, F₁₆, 11) (dual of [24, 12, 12]-code), using
    - extended algebraic-geometric code AG_e(F,12P) [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(2¹, 5, F₂, 1) (dual of [5, 4, 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.

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.