MinT - Information on Result #586770

Information on Result #586770

There is no linear OOA(2¹⁹⁸, 218, F₂, 5, 98) (dual of [(218, 5), 892, 99]-NRT-code), because 3 times depth reduction would yield linear OOA(2¹⁹⁸, 218, F₂, 2, 98) (dual of [(218, 2), 238, 99]-NRT-code), but

6 step m-reduction [i] would yield linear OA(2¹⁹², 218, F₂, 92) (dual of [218, 26, 93]-code), but
- 2 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.