MinT - Information on Result #670557

Information on Result #670557

Linear OA(128²², 256, F₁₂₈, 15) (dual of [256, 234, 16]-code), using generalized (u,Â u+v)-construction based on

linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 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, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128⁰, 2, F₁₂₈, 0) (dual of [2, 2, 1]-code) (see above)
linear OA(128¹, 2, F₁₂₈, 1) (dual of [2, 1, 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, 2, F₁₂₈, 1) (dual of [2, 1, 2]-code) (see above)
linear OA(128¹, 2, F₁₂₈, 1) (dual of [2, 1, 2]-code) (see above)
linear OA(128¹, 2, F₁₂₈, 1) (dual of [2, 1, 2]-code) (see above)
linear OA(128¹, 2, F₁₂₈, 1) (dual of [2, 1, 2]-code) (see above)
linear OA(128¹, 2, F₁₂₈, 1) (dual of [2, 1, 2]-code) (see above)
linear OA(128¹, 2, F₁₂₈, 1) (dual of [2, 1, 2]-code) (see above)
linear OA(128¹, 2, F₁₂₈, 1) (dual of [2, 1, 2]-code) (see above)
linear OA(128², 2, F₁₂₈, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)), using
- complete OA / dual of code with only one code word [i]
linear OA(128², 2, F₁₂₈, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)) (see above)
linear OA(128², 2, F₁₂₈, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)) (see above)
linear OA(128², 2, F₁₂₈, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)) (see above)
linear OA(128², 2, F₁₂₈, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)) (see above)
linear OA(128², 2, F₁₂₈, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)) (see above)
linear OA(128², 2, F₁₂₈, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)) (see above)

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.