MinT - Information on Result #581269

Information on Result #581269

There is no linear OOA(3⁶⁸, 58, F₃, 4, 51) (dual of [(58, 4), 164, 52]-NRT-code), because 2 times depth reduction would yield linear OOA(3⁶⁸, 58, F₃, 2, 51) (dual of [(58, 2), 48, 52]-NRT-code), but

15 step m-reduction [i] would yield linear OA(3⁵³, 58, F₃, 36) (dual of [58, 5, 37]-code), but
- residual code [i] would yield linear OA(3¹⁷, 21, F₃, 12) (dual of [21, 4, 13]-code), but
  - â€œHNâ€ 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.