MinT - Information on Result #568360

Information on Result #568360

There is no linear OOA(3¹⁴, 19, F₃, 3, 10) (dual of [(19, 3), 43, 11]-NRT-code), because 1 times depth reduction would yield linear OOA(3¹⁴, 19, F₃, 2, 10) (dual of [(19, 2), 24, 11]-NRT-code), but

1 step m-reduction [i] would yield linear OA(3¹³, 19, F₃, 9) (dual of [19, 6, 10]-code), but
- constructionÂ Y1 [i] would yield
  1. linear OA(3¹², 15, F₃, 9) (dual of [15, 3, 10]-code), but
    - Griesmer bound [i]
  2. OA(3⁶, 19, S₃, 4), but
    - the linear programming bound shows that MÂ â‰¥ 51975 / 67 > 3⁶ [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.