Information on Result #561838
There is no linear OOA(4251, 246, F4, 2, 192) (dual of [(246, 2), 241, 193]-NRT-code), because 12 step m-reduction would yield linear OA(4239, 246, F4, 180) (dual of [246, 7, 181]-code), but
- residual code [i] would yield linear OA(459, 65, F4, 45) (dual of [65, 6, 46]-code), but
- 1 times truncation [i] would yield linear OA(458, 64, F4, 44) (dual of [64, 6, 45]-code), but
- residual code [i] would yield linear OA(414, 19, F4, 11) (dual of [19, 5, 12]-code), but
- 1 times truncation [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]
- 1 times truncation [i] would yield linear OA(413, 18, F4, 10) (dual of [18, 5, 11]-code), but
- residual code [i] would yield linear OA(414, 19, F4, 11) (dual of [19, 5, 12]-code), but
- 1 times truncation [i] would yield linear OA(458, 64, F4, 44) (dual of [64, 6, 45]-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(4251, 246, F4, 3, 192) (dual of [(246, 3), 487, 193]-NRT-code) | [i] | Depth Reduction | |