MinT - Information on Result #566534

Information on Result #566534

There is no linear OOA(2¹⁵², 174, F₂, 3, 75) (dual of [(174, 3), 370, 76]-NRT-code), because 1 times depth reduction would yield linear OOA(2¹⁵², 174, F₂, 2, 75) (dual of [(174, 2), 196, 76]-NRT-code), but

1 step m-reduction [i] 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.