MinT - Information on Result #949251

Information on Result #949251

Linear OOA(2¹⁸⁹, 101, F₂, 3, 53) (dual of [(101, 3), 114, 54]-NRT-code), using OOA 3-folding based on linear OA(2¹⁸⁹, 303, F₂, 53) (dual of [303, 114, 54]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁸⁹, 305, F₂, 53) (dual of [305, 116, 54]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16³², 61, F₁₆, 26) (dual of [61, 29, 27]-code), using
    - discarding factors / shortening the dual code based on linear OA(16³², 64, F₁₆, 26) (dual of [64, 32, 27]-code), using
      - algebraic-geometric code AG(F,37P) [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.