Information on Result #703708
Linear OA(3222, 242, F3, 131) (dual of [242, 20, 132]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,121}, and designed minimum distance d ≥ |I|+1 = 132
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3242, 262, F3, 132) (dual of [262, 20, 133]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(3243, 263, F3, 133) (dual of [263, 20, 134]-code) | [i] | ||
| 3 | Linear OA(3241, 260, F3, 132) (dual of [260, 19, 133]-code) | [i] | ||
| 4 | Linear OA(3242, 261, F3, 133) (dual of [261, 19, 134]-code) | [i] | ||
| 5 | Linear OA(3245, 264, F3, 134) (dual of [264, 19, 135]-code) | [i] | ||
| 6 | Linear OA(3242, 273, F3, 133) (dual of [273, 31, 134]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3240, 271, F3, 132) (dual of [271, 31, 133]-code) | [i] | ✔ | |
| 8 | Linear OA(3247, 277, F3, 134) (dual of [277, 30, 135]-code) | [i] | ✔ | |
| 9 | Linear OA(3242, 272, F3, 134) (dual of [272, 30, 135]-code) | [i] | ✔ | |
| 10 | Linear OA(3240, 270, F3, 133) (dual of [270, 30, 134]-code) | [i] | ✔ | |
| 11 | Linear OA(3250, 278, F3, 135) (dual of [278, 28, 136]-code) | [i] | ✔ | |
| 12 | Linear OA(3249, 279, F3, 135) (dual of [279, 30, 136]-code) | [i] | ✔ | |
| 13 | Linear OA(3250, 278, F3, 136) (dual of [278, 28, 137]-code) | [i] | ✔ | |
| 14 | Linear OOA(3222, 121, F3, 2, 131) (dual of [(121, 2), 20, 132]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(3222, 48, F3, 5, 131) (dual of [(48, 5), 18, 132]-NRT-code) | [i] | ||