MinT - Information on Result #2528889

Information on Result #2528889

Linear OOA(2¹²², 72, F₂, 2, 56) (dual of [(72, 2), 22, 57]-NRT-code), using strength reduction based on linear OOA(2¹²², 72, F₂, 2, 57) (dual of [(72, 2), 22, 58]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(4³⁷, 24, F₄, 2, 28) (dual of [(24, 2), 11, 29]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4³⁷, 26, F₄, 2, 28) (dual of [(26, 2), 15, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,23P) [i] based on function field F/F₄ with g(F) = 9 and N(F) ≥ 26, using
      - Drinfeld modules of rank 1 [i]
2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 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: 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.