MinT - Information on Result #2502151

Information on Result #2502151

Linear OOA(4²⁵⁵, 197, F₄, 2, 108) (dual of [(197, 2), 139, 109]-NRT-code), using 4¹ times duplication based on linear OOA(4²⁵⁴, 197, F₄, 2, 108) (dual of [(197, 2), 140, 109]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(4²⁵⁰, 195, F₄, 2, 108) (dual of [(195, 2), 140, 109]-NRT-code), using
- strength reduction [i] based on linear OOA(4²⁵⁰, 195, F₄, 2, 109) (dual of [(195, 2), 140, 110]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(16⁶⁰, 65, F₁₆, 2, 54) (dual of [(65, 2), 70, 55]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,75P) [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.