Information on Result #548487
There is no linear OA(3228, 235, F3, 153) (dual of [235, 7, 154]-code), because residual code would yield linear OA(375, 81, F3, 51) (dual of [81, 6, 52]-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.
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(3229, 236, F3, 154) (dual of [236, 7, 155]-code) | [i] | Truncation | |
| 2 | No linear OA(3230, 237, F3, 155) (dual of [237, 7, 156]-code) | [i] | ||
| 3 | No linear OA(3232, 239, F3, 157) (dual of [239, 7, 158]-code) | [i] | ||
| 4 | No linear OA(3233, 240, F3, 158) (dual of [240, 7, 159]-code) | [i] | ||
| 5 | No linear OOA(3229, 235, F3, 2, 154) (dual of [(235, 2), 241, 155]-NRT-code) | [i] | m-Reduction for OOAs | |
| 6 | No linear OOA(3230, 235, F3, 2, 155) (dual of [(235, 2), 240, 156]-NRT-code) | [i] | ||
| 7 | No linear OOA(3231, 235, F3, 2, 156) (dual of [(235, 2), 239, 157]-NRT-code) | [i] | ||
| 8 | No linear OOA(3232, 235, F3, 2, 157) (dual of [(235, 2), 238, 158]-NRT-code) | [i] | ||
| 9 | No linear OOA(3233, 235, F3, 2, 158) (dual of [(235, 2), 237, 159]-NRT-code) | [i] | ||
| 10 | No linear OOA(3234, 235, F3, 2, 159) (dual of [(235, 2), 236, 160]-NRT-code) | [i] | ||
| 11 | No linear OOA(3235, 235, F3, 2, 160) (dual of [(235, 2), 235, 161]-NRT-code) | [i] | ||
| 12 | No linear OOA(3236, 235, F3, 2, 161) (dual of [(235, 2), 234, 162]-NRT-code) | [i] | ||
| 13 | No linear OOA(3237, 235, F3, 2, 162) (dual of [(235, 2), 233, 163]-NRT-code) | [i] | ||
| 14 | No linear OOA(3238, 235, F3, 2, 163) (dual of [(235, 2), 232, 164]-NRT-code) | [i] | ||
| 15 | No linear OOA(3239, 235, F3, 2, 164) (dual of [(235, 2), 231, 165]-NRT-code) | [i] | ||
| 16 | No linear OOA(3240, 235, F3, 2, 165) (dual of [(235, 2), 230, 166]-NRT-code) | [i] | ||
| 17 | No linear OOA(3241, 235, F3, 2, 166) (dual of [(235, 2), 229, 167]-NRT-code) | [i] | ||
| 18 | No linear OOA(3242, 235, F3, 2, 167) (dual of [(235, 2), 228, 168]-NRT-code) | [i] | ||
| 19 | No linear OOA(3243, 235, F3, 2, 168) (dual of [(235, 2), 227, 169]-NRT-code) | [i] | ||
| 20 | No linear OOA(3244, 235, F3, 2, 169) (dual of [(235, 2), 226, 170]-NRT-code) | [i] | ||
| 21 | No linear OOA(3245, 235, F3, 2, 170) (dual of [(235, 2), 225, 171]-NRT-code) | [i] | ||
| 22 | No linear OOA(3246, 235, F3, 2, 171) (dual of [(235, 2), 224, 172]-NRT-code) | [i] | ||
| 23 | No linear OOA(3247, 235, F3, 2, 172) (dual of [(235, 2), 223, 173]-NRT-code) | [i] | ||
| 24 | No linear OOA(3248, 235, F3, 2, 173) (dual of [(235, 2), 222, 174]-NRT-code) | [i] | ||
| 25 | No linear OOA(3249, 235, F3, 2, 174) (dual of [(235, 2), 221, 175]-NRT-code) | [i] | ||
| 26 | No linear OOA(3250, 235, F3, 2, 175) (dual of [(235, 2), 220, 176]-NRT-code) | [i] | ||
| 27 | No linear OOA(3228, 235, F3, 2, 153) (dual of [(235, 2), 242, 154]-NRT-code) | [i] | Depth Reduction | |
| 28 | No linear OOA(3228, 235, F3, 3, 153) (dual of [(235, 3), 477, 154]-NRT-code) | [i] | ||
| 29 | No linear OOA(3228, 235, F3, 4, 153) (dual of [(235, 4), 712, 154]-NRT-code) | [i] | ||
| 30 | No linear OOA(3228, 235, F3, 5, 153) (dual of [(235, 5), 947, 154]-NRT-code) | [i] | ||
| 31 | No digital (75, 228, 235)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 32 | No linear OA(3229, 239, F3, 153) (dual of [239, 10, 154]-code) | [i] | Construction Y1 (Bound) | |