MinT - Information on Result #567335

Information on Result #567335

There is no linear OOA(2¹⁹³, 216, F₂, 3, 95) (dual of [(216, 3), 455, 96]-NRT-code), because 1 times depth reduction would yield linear OOA(2¹⁹³, 216, F₂, 2, 95) (dual of [(216, 2), 239, 96]-NRT-code), but

3 step m-reduction [i] would yield linear OA(2¹⁹⁰, 216, F₂, 92) (dual of [216, 26, 93]-code), but
- 4 times code embedding in larger space [i] would yield linear OA(2¹⁹⁴, 220, F₂, 92) (dual of [220, 26, 93]-code), but
  - adding a parity check bit [i] would yield linear OA(2¹⁹⁵, 221, F₂, 93) (dual of [221, 26, 94]-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.