MinT - Information on Result #585993

Information on Result #585993

There is no linear OOA(2¹⁵⁰, 176, F₂, 5, 72) (dual of [(176, 5), 730, 73]-NRT-code), because 3 times depth reduction would yield linear OOA(2¹⁵⁰, 176, F₂, 2, 72) (dual of [(176, 2), 202, 73]-NRT-code), but

2 step m-reduction [i] would yield linear OA(2¹⁴⁸, 176, F₂, 70) (dual of [176, 28, 71]-code), but
- adding a parity check bit [i] would yield linear OA(2¹⁴⁹, 177, F₂, 71) (dual of [177, 28, 72]-code), but
  - â€œBKâ€ 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.