Information on Result #548510
There is no linear OA(4245, 255, F4, 184) (dual of [255, 10, 185]-code), because residual code would yield linear OA(461, 70, F4, 46) (dual of [70, 9, 47]-code), but
- “Gur†bound on codes from Brouwer’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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4246, 256, F4, 185) (dual of [256, 10, 186]-code) | [i] | Truncation | |
| 2 | No linear OA(4247, 257, F4, 186) (dual of [257, 10, 187]-code) | [i] | ||
| 3 | No linear OA(4248, 258, F4, 187) (dual of [258, 10, 188]-code) | [i] | ||
| 4 | No linear OOA(4246, 255, F4, 2, 185) (dual of [(255, 2), 264, 186]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4247, 255, F4, 2, 186) (dual of [(255, 2), 263, 187]-NRT-code) | [i] | ||
| 6 | No linear OOA(4248, 255, F4, 2, 187) (dual of [(255, 2), 262, 188]-NRT-code) | [i] | ||
| 7 | No linear OOA(4249, 255, F4, 2, 188) (dual of [(255, 2), 261, 189]-NRT-code) | [i] | ||
| 8 | No linear OOA(4250, 255, F4, 2, 189) (dual of [(255, 2), 260, 190]-NRT-code) | [i] | ||
| 9 | No linear OOA(4251, 255, F4, 2, 190) (dual of [(255, 2), 259, 191]-NRT-code) | [i] | ||
| 10 | No linear OOA(4252, 255, F4, 2, 191) (dual of [(255, 2), 258, 192]-NRT-code) | [i] | ||
| 11 | No linear OOA(4253, 255, F4, 2, 192) (dual of [(255, 2), 257, 193]-NRT-code) | [i] | ||
| 12 | No linear OOA(4254, 255, F4, 2, 193) (dual of [(255, 2), 256, 194]-NRT-code) | [i] | ||
| 13 | No linear OOA(4255, 255, F4, 2, 194) (dual of [(255, 2), 255, 195]-NRT-code) | [i] | ||
| 14 | No linear OOA(4256, 255, F4, 2, 195) (dual of [(255, 2), 254, 196]-NRT-code) | [i] | ||
| 15 | No linear OOA(4257, 255, F4, 2, 196) (dual of [(255, 2), 253, 197]-NRT-code) | [i] | ||
| 16 | No linear OOA(4258, 255, F4, 2, 197) (dual of [(255, 2), 252, 198]-NRT-code) | [i] | ||
| 17 | No linear OOA(4259, 255, F4, 2, 198) (dual of [(255, 2), 251, 199]-NRT-code) | [i] | ||
| 18 | No linear OOA(4260, 255, F4, 2, 199) (dual of [(255, 2), 250, 200]-NRT-code) | [i] | ||
| 19 | No linear OOA(4245, 255, F4, 2, 184) (dual of [(255, 2), 265, 185]-NRT-code) | [i] | Depth Reduction | |
| 20 | No linear OOA(4245, 255, F4, 3, 184) (dual of [(255, 3), 520, 185]-NRT-code) | [i] | ||
| 21 | No digital (61, 245, 255)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |