MinT - Information on Result #2500362

Information on Result #2500362

Linear OOA(4¹¹⁹, 72, F₄, 2, 68) (dual of [(72, 2), 25, 69]-NRT-code), using 4¹ times duplication based on linear OOA(4¹¹⁸, 72, F₄, 2, 68) (dual of [(72, 2), 26, 69]-NRT-code), using

strength reduction [i] based on linear OOA(4¹¹⁸, 72, F₄, 2, 69) (dual of [(72, 2), 26, 70]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16³⁵, 24, F₁₆, 2, 34) (dual of [(24, 2), 13, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [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.