MinT - Information on Result #585396

Information on Result #585396

There is no linear OOA(2⁷⁸, 77, F₂, 5, 44) (dual of [(77, 5), 307, 45]-NRT-code), because 3 times depth reduction would yield linear OOA(2⁷⁸, 77, F₂, 2, 44) (dual of [(77, 2), 76, 45]-NRT-code), but

8 step m-reduction [i] would yield linear OA(2⁷⁰, 77, F₂, 36) (dual of [77, 7, 37]-code), but
- residual code [i] would yield linear OA(2³⁴, 40, F₂, 18) (dual of [40, 6, 19]-code), but
  - â€œBMâ€ 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.