MinT - Information on Result #590470

Information on Result #590470

There is no linear OOA(3²²⁰, 193, F₃, 5, 159) (dual of [(193, 5), 745, 160]-NRT-code), because 3 times depth reduction would yield linear OOA(3²²⁰, 193, F₃, 2, 159) (dual of [(193, 2), 166, 160]-NRT-code), but

33 step m-reduction [i] would yield linear OA(3¹⁸⁷, 193, F₃, 126) (dual of [193, 6, 127]-code), but
- residual code [i] would yield linear OA(3⁶¹, 66, F₃, 42) (dual of [66, 5, 43]-code), but
  - residual code [i] would yield linear OA(3¹⁹, 23, F₃, 14) (dual of [23, 4, 15]-code), but
    - 2 times truncation [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.