MinT - Information on Result #596303

Information on Result #596303

There is no linear OOA(2⁴⁰, 48, F₂, 8, 21) (dual of [(48, 8), 344, 22]-NRT-code), because 6 times depth reduction would yield linear OOA(2⁴⁰, 48, F₂, 2, 21) (dual of [(48, 2), 56, 22]-NRT-code), but

1 step m-reduction [i] would yield linear OA(2³⁹, 48, F₂, 20) (dual of [48, 9, 21]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2⁴⁰, 49, F₂, 20) (dual of [49, 9, 21]-code), but
  - â€œJaâ€ bound on codes from Brouwerâ€™s database [i]

Mode: Bound (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.