MinT - Information on Result #594570

Information on Result #594570

There is no linear OOA(2¹³¹, 153, F₂, 7, 63) (dual of [(153, 7), 940, 64]-NRT-code), because 5 times depth reduction would yield linear OOA(2¹³¹, 153, F₂, 2, 63) (dual of [(153, 2), 175, 64]-NRT-code), but

1 step m-reduction [i] would yield linear OA(2¹³⁰, 153, F₂, 62) (dual of [153, 23, 63]-code), but
- adding a parity check bit [i] would yield linear OA(2¹³¹, 154, F₂, 63) (dual of [154, 23, 64]-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.