MinT - Information on Result #857262

Information on Result #857262

Linear OOA(16³⁴, 33, F₁₆, 2, 27) (dual of [(33, 2), 32, 28]-NRT-code), using OOA 2-folding based on linear OA(16³⁴, 66, F₁₆, 27) (dual of [66, 32, 28]-code), using

discarding factors / shortening the dual code based on linear OA(16³⁴, 67, F₁₆, 27) (dual of [67, 33, 28]-code), using
- constructionÂ X applied to AG(F,36P) âŠ‚ AG(F,38P) [i] based on
  1. linear OA(16³³, 64, F₁₆, 27) (dual of [64, 31, 28]-code), using algebraic-geometric code AG(F,36P) [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(16³¹, 64, F₁₆, 25) (dual of [64, 33, 26]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(16¹, 3, F₁₆, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹, s, F₁₆, 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.