MinT - Information on Result #565727

Information on Result #565727

There is no linear OOA(2⁷⁵, 82, F₂, 3, 39) (dual of [(82, 3), 171, 40]-NRT-code), because 1 times depth reduction would yield linear OOA(2⁷⁵, 82, F₂, 2, 39) (dual of [(82, 2), 89, 40]-NRT-code), but

3 step m-reduction [i] would yield linear OA(2⁷², 82, F₂, 36) (dual of [82, 10, 37]-code), but
- adding a parity check bit [i] would yield linear OA(2⁷³, 83, F₂, 37) (dual of [83, 10, 38]-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.