MinT - Information on Result #949806

Information on Result #949806

Linear OOA(2²⁰¹, 96, F₂, 3, 60) (dual of [(96, 3), 87, 61]-NRT-code), using OOA 3-folding based on linear OA(2²⁰¹, 288, F₂, 60) (dual of [288, 87, 61]-code), using

discarding factors / shortening the dual code based on linear OA(2²⁰¹, 289, F₂, 60) (dual of [289, 88, 61]-code), using
- 1 times truncation [i] based on linear OA(2²⁰², 290, F₂, 61) (dual of [290, 88, 62]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16³⁶, 58, F₁₆, 30) (dual of [58, 22, 31]-code), using
      - discarding factors / shortening the dual code based on linear OA(16³⁶, 64, F₁₆, 30) (dual of [64, 28, 31]-code), using
        algebraic-geometric code AG(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]
    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.