MinT - Information on Result #2502643

Information on Result #2502643

Linear OOA(4²⁵¹, 159, F₄, 2, 133) (dual of [(159, 2), 67, 134]-NRT-code), using 4¹ times duplication based on linear OOA(4²⁵⁰, 159, F₄, 2, 133) (dual of [(159, 2), 68, 134]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16⁷², 53, F₁₆, 2, 66) (dual of [(53, 2), 34, 67]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16⁷², 64, F₁₆, 2, 66) (dual of [(64, 2), 56, 67]-NRT-code), using
    - algebraic-geometric NRT-code AG(2;F,61P) [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(4¹, 3, F₄, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.