MinT - Information on Result #809323

Information on Result #809323

Linear OOA(2¹⁸², 157, F₂, 2, 48) (dual of [(157, 2), 132, 49]-NRT-code), using OOA 2-folding based on linear OA(2¹⁸², 314, F₂, 48) (dual of [314, 132, 49]-code), using

1 times truncation [i] based on linear OA(2¹⁸³, 315, F₂, 49) (dual of [315, 132, 50]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16³⁰, 63, F₁₆, 24) (dual of [63, 33, 25]-code), using
    - discarding factors / shortening the dual code based on linear OA(16³⁰, 64, F₁₆, 24) (dual of [64, 34, 25]-code), using
      - algebraic-geometric code AG(F,39P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
        the Hermitian function field over F₁₆ [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.