Information on Result #703704
Linear OA(3221, 242, F3, 130) (dual of [242, 21, 131]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,120}, and designed minimum distance d ≥ |I|+1 = 131
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(3221, 242, F3, 129) (dual of [242, 21, 130]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3221, 242, F3, 128) (dual of [242, 21, 129]-code) | [i] | ||
| 3 | Linear OA(3221, 242, F3, 127) (dual of [242, 21, 128]-code) | [i] | ||
| 4 | Linear OA(3221, 242, F3, 126) (dual of [242, 21, 127]-code) | [i] | ||
| 5 | Linear OA(3223, 244, F3, 130) (dual of [244, 21, 131]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(3224, 245, F3, 130) (dual of [245, 21, 131]-code) | [i] | ||
| 7 | Linear OA(3243, 275, F3, 133) (dual of [275, 32, 134]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(3246, 275, F3, 134) (dual of [275, 29, 135]-code) | [i] | ✔ | |
| 9 | Linear OA(3243, 274, F3, 134) (dual of [274, 31, 135]-code) | [i] | ✔ | |
| 10 | Linear OA(3250, 277, F3, 135) (dual of [277, 27, 136]-code) | [i] | ✔ | |
| 11 | Linear OOA(3221, 121, F3, 2, 130) (dual of [(121, 2), 21, 131]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(3221, 80, F3, 3, 130) (dual of [(80, 3), 19, 131]-NRT-code) | [i] | ||
| 13 | Linear OOA(3221, 48, F3, 5, 130) (dual of [(48, 5), 19, 131]-NRT-code) | [i] | ||