Information on Result #548480
There is no linear OA(3210, 218, F3, 141) (dual of [218, 8, 142]-code), because residual code would yield linear OA(369, 76, F3, 47) (dual of [76, 7, 48]-code), but
- 2 times truncation [i] would yield linear OA(367, 74, F3, 45) (dual of [74, 7, 46]-code), but
- residual code [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- “HHM†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-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(3211, 219, F3, 142) (dual of [219, 8, 143]-code) | [i] | Truncation | |
| 2 | No linear OA(3212, 220, F3, 143) (dual of [220, 8, 144]-code) | [i] | ||
| 3 | No linear OOA(3211, 218, F3, 2, 142) (dual of [(218, 2), 225, 143]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3212, 218, F3, 2, 143) (dual of [(218, 2), 224, 144]-NRT-code) | [i] | ||
| 5 | No linear OOA(3214, 218, F3, 2, 145) (dual of [(218, 2), 222, 146]-NRT-code) | [i] | ||
| 6 | No linear OOA(3215, 218, F3, 2, 146) (dual of [(218, 2), 221, 147]-NRT-code) | [i] | ||
| 7 | No linear OOA(3216, 218, F3, 2, 147) (dual of [(218, 2), 220, 148]-NRT-code) | [i] | ||
| 8 | No linear OOA(3217, 218, F3, 2, 148) (dual of [(218, 2), 219, 149]-NRT-code) | [i] | ||
| 9 | No linear OOA(3218, 218, F3, 2, 149) (dual of [(218, 2), 218, 150]-NRT-code) | [i] | ||
| 10 | No linear OOA(3219, 218, F3, 2, 150) (dual of [(218, 2), 217, 151]-NRT-code) | [i] | ||
| 11 | No linear OOA(3220, 218, F3, 2, 151) (dual of [(218, 2), 216, 152]-NRT-code) | [i] | ||
| 12 | No linear OOA(3221, 218, F3, 2, 152) (dual of [(218, 2), 215, 153]-NRT-code) | [i] | ||
| 13 | No linear OOA(3222, 218, F3, 2, 153) (dual of [(218, 2), 214, 154]-NRT-code) | [i] | ||
| 14 | No linear OOA(3223, 218, F3, 2, 154) (dual of [(218, 2), 213, 155]-NRT-code) | [i] | ||
| 15 | No linear OOA(3224, 218, F3, 2, 155) (dual of [(218, 2), 212, 156]-NRT-code) | [i] | ||
| 16 | No linear OOA(3225, 218, F3, 2, 156) (dual of [(218, 2), 211, 157]-NRT-code) | [i] | ||
| 17 | No linear OOA(3226, 218, F3, 2, 157) (dual of [(218, 2), 210, 158]-NRT-code) | [i] | ||
| 18 | No linear OOA(3227, 218, F3, 2, 158) (dual of [(218, 2), 209, 159]-NRT-code) | [i] | ||
| 19 | No linear OOA(3228, 218, F3, 2, 159) (dual of [(218, 2), 208, 160]-NRT-code) | [i] | ||
| 20 | No linear OOA(3229, 218, F3, 2, 160) (dual of [(218, 2), 207, 161]-NRT-code) | [i] | ||
| 21 | No linear OOA(3230, 218, F3, 2, 161) (dual of [(218, 2), 206, 162]-NRT-code) | [i] | ||
| 22 | No linear OOA(3231, 218, F3, 2, 162) (dual of [(218, 2), 205, 163]-NRT-code) | [i] | ||
| 23 | No linear OOA(3232, 218, F3, 2, 163) (dual of [(218, 2), 204, 164]-NRT-code) | [i] | ||
| 24 | No linear OOA(3233, 218, F3, 2, 164) (dual of [(218, 2), 203, 165]-NRT-code) | [i] | ||
| 25 | No linear OOA(3234, 218, F3, 2, 165) (dual of [(218, 2), 202, 166]-NRT-code) | [i] | ||
| 26 | No linear OOA(3235, 218, F3, 2, 166) (dual of [(218, 2), 201, 167]-NRT-code) | [i] | ||
| 27 | No linear OOA(3236, 218, F3, 2, 167) (dual of [(218, 2), 200, 168]-NRT-code) | [i] | ||
| 28 | No linear OOA(3237, 218, F3, 2, 168) (dual of [(218, 2), 199, 169]-NRT-code) | [i] | ||
| 29 | No linear OOA(3238, 218, F3, 2, 169) (dual of [(218, 2), 198, 170]-NRT-code) | [i] | ||
| 30 | No linear OOA(3239, 218, F3, 2, 170) (dual of [(218, 2), 197, 171]-NRT-code) | [i] | ||
| 31 | No linear OOA(3240, 218, F3, 2, 171) (dual of [(218, 2), 196, 172]-NRT-code) | [i] | ||
| 32 | No linear OOA(3241, 218, F3, 2, 172) (dual of [(218, 2), 195, 173]-NRT-code) | [i] | ||
| 33 | No linear OOA(3242, 218, F3, 2, 173) (dual of [(218, 2), 194, 174]-NRT-code) | [i] | ||
| 34 | No linear OOA(3243, 218, F3, 2, 174) (dual of [(218, 2), 193, 175]-NRT-code) | [i] | ||
| 35 | No linear OOA(3244, 218, F3, 2, 175) (dual of [(218, 2), 192, 176]-NRT-code) | [i] | ||
| 36 | No linear OOA(3245, 218, F3, 2, 176) (dual of [(218, 2), 191, 177]-NRT-code) | [i] | ||
| 37 | No linear OOA(3246, 218, F3, 2, 177) (dual of [(218, 2), 190, 178]-NRT-code) | [i] | ||
| 38 | No linear OOA(3247, 218, F3, 2, 178) (dual of [(218, 2), 189, 179]-NRT-code) | [i] | ||
| 39 | No linear OOA(3248, 218, F3, 2, 179) (dual of [(218, 2), 188, 180]-NRT-code) | [i] | ||
| 40 | No linear OOA(3249, 218, F3, 2, 180) (dual of [(218, 2), 187, 181]-NRT-code) | [i] | ||
| 41 | No linear OOA(3250, 218, F3, 2, 181) (dual of [(218, 2), 186, 182]-NRT-code) | [i] | ||
| 42 | No linear OOA(3210, 218, F3, 2, 141) (dual of [(218, 2), 226, 142]-NRT-code) | [i] | Depth Reduction | |
| 43 | No linear OOA(3210, 218, F3, 3, 141) (dual of [(218, 3), 444, 142]-NRT-code) | [i] | ||
| 44 | No linear OOA(3210, 218, F3, 4, 141) (dual of [(218, 4), 662, 142]-NRT-code) | [i] | ||
| 45 | No linear OOA(3210, 218, F3, 5, 141) (dual of [(218, 5), 880, 142]-NRT-code) | [i] | ||
| 46 | No digital (69, 210, 218)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |