MinT - Information on Result #579429

Information on Result #579429

There is no linear OOA(2¹⁵², 178, F₂, 4, 73) (dual of [(178, 4), 560, 74]-NRT-code), because 2 times depth reduction would yield linear OOA(2¹⁵², 178, F₂, 2, 73) (dual of [(178, 2), 204, 74]-NRT-code), but

3 step m-reduction [i] would yield linear OA(2¹⁴⁹, 178, F₂, 70) (dual of [178, 29, 71]-code), but
- adding a parity check bit [i] would yield linear OA(2¹⁵⁰, 179, F₂, 71) (dual of [179, 29, 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.