MinT - Information on Result #565838

Information on Result #565838

There is no linear OOA(2⁸⁹, 98, F₂, 3, 45) (dual of [(98, 3), 205, 46]-NRT-code), because 1 times depth reduction would yield linear OOA(2⁸⁹, 98, F₂, 2, 45) (dual of [(98, 2), 107, 46]-NRT-code), but

1 step m-reduction [i] would yield linear OA(2⁸⁸, 98, F₂, 44) (dual of [98, 10, 45]-code), but
- adding a parity check bit [i] would yield linear OA(2⁸⁹, 99, F₂, 45) (dual of [99, 10, 46]-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.