MinT - Information on Result #579415

Information on Result #579415

There is no linear OOA(2¹⁵¹, 174, F₂, 4, 74) (dual of [(174, 4), 545, 75]-NRT-code), because 3 times depth reduction would yield linear OA(2¹⁵¹, 174, F₂, 74) (dual of [174, 23, 75]-code), but

4 times code embedding in larger space [i] would yield linear OA(2¹⁵⁵, 178, F₂, 74) (dual of [178, 23, 75]-code), but
- adding a parity check bit [i] would yield linear OA(2¹⁵⁶, 179, F₂, 75) (dual of [179, 23, 76]-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.