MinT - Information on Result #586037

Information on Result #586037

There is no linear OOA(2¹⁵³, 179, F₂, 5, 73) (dual of [(179, 5), 742, 74]-NRT-code), because 3 times depth reduction would yield linear OOA(2¹⁵³, 179, F₂, 2, 73) (dual of [(179, 2), 205, 74]-NRT-code), but

1 step m-reduction [i] would yield linear OA(2¹⁵², 179, F₂, 72) (dual of [179, 27, 73]-code), but
- adding a parity check bit [i] would yield linear OA(2¹⁵³, 180, F₂, 73) (dual of [180, 27, 74]-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.