MinT - Information on Result #565510

Information on Result #565510

There is no linear OOA(2⁴², 54, F₂, 3, 21) (dual of [(54, 3), 120, 22]-NRT-code), because 1 times depth reduction would yield linear OOA(2⁴², 54, F₂, 2, 21) (dual of [(54, 2), 66, 22]-NRT-code), but

1 step m-reduction [i] would yield linear OA(2⁴¹, 54, F₂, 20) (dual of [54, 13, 21]-code), but
- adding a parity check bit [i] would yield linear OA(2⁴², 55, F₂, 21) (dual of [55, 13, 22]-code), but
  - â€œJaâ€ 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.