Information on Result #561879
There is no linear OOA(4252, 225, F4, 2, 198) (dual of [(225, 2), 198, 199]-NRT-code), because 34 step m-reduction would yield linear OA(4218, 225, F4, 164) (dual of [225, 7, 165]-code), but
- residual code [i] would yield linear OA(454, 60, F4, 41) (dual of [60, 6, 42]-code), but
- 1 times truncation [i] would yield linear OA(453, 59, F4, 40) (dual of [59, 6, 41]-code), but
- residual code [i] would yield linear OA(413, 18, F4, 10) (dual of [18, 5, 11]-code), but
- “Liz†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(413, 18, F4, 10) (dual of [18, 5, 11]-code), but
- 1 times truncation [i] would yield linear OA(453, 59, F4, 40) (dual of [59, 6, 41]-code), but
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(4252, 225, F4, 3, 198) (dual of [(225, 3), 423, 199]-NRT-code) | [i] | Depth Reduction | |