MinT - Information on Result #670586

Information on Result #670586

Linear OA(128¹², 19200, F₁₂₈, 5) (dual of [19200, 19188, 6]-code), using generalized (u,Â u+v)-construction based on

linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(128⁰, s, F₁₂₈, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
  - OA with only one run / dual of code without redundancy [i]
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128⁰, 150, F₁₂₈, 0) (dual of [150, 150, 1]-code) (see above)
linear OA(128¹, 150, F₁₂₈, 1) (dual of [150, 149, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(128¹, s, F₁₂₈, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]
linear OA(128¹, 150, F₁₂₈, 1) (dual of [150, 149, 2]-code) (see above)
linear OA(128¹, 150, F₁₂₈, 1) (dual of [150, 149, 2]-code) (see above)
linear OA(128³, 150, F₁₂₈, 2) (dual of [150, 147, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(128³, 16513, F₁₂₈, 2) (dual of [16513, 16510, 3]-code), using
  - Hamming code H(3,128) [i]
linear OA(128⁶, 150, F₁₂₈, 5) (dual of [150, 144, 6]-code), using
- extended algebraic-geometric code AG_e(F,144P) [i] based on function field F/F₁₂₈ with g(F) = 1 and N(F) ≥ 150, using
  - a function field by SÃ©mirat [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.