MinT - Information on Result #583776

Information on Result #583776

There is no linear OOA(3²¹⁵, 229, F₃, 4, 143) (dual of [(229, 4), 701, 144]-NRT-code), because 2 times depth reduction would yield linear OOA(3²¹⁵, 229, F₃, 2, 143) (dual of [(229, 2), 243, 144]-NRT-code), but

2 step m-reduction [i] would yield linear OA(3²¹³, 229, F₃, 141) (dual of [229, 16, 142]-code), but
- residual code [i] would yield linear OA(3⁷², 87, F₃, 47) (dual of [87, 15, 48]-code), but
  - 1 times truncation [i] would yield linear OA(3⁷¹, 86, F₃, 46) (dual of [86, 15, 47]-code), but
    - â€œDaâ€ 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.