MinT - Information on Result #572208

Information on Result #572208

There is no linear OOA(3²⁴³, 245, F₃, 3, 165) (dual of [(245, 3), 492, 166]-NRT-code), because 1 times depth reduction would yield linear OOA(3²⁴³, 245, F₃, 2, 165) (dual of [(245, 2), 247, 166]-NRT-code), but

3 step m-reduction [i] would yield linear OA(3²⁴⁰, 245, F₃, 162) (dual of [245, 5, 163]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(3²⁴¹, 246, F₃, 162) (dual of [246, 5, 163]-code), but
  - Griesmer bound [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.