Information on Result #677496
Linear OA(320, 242, F3, 6) (dual of [242, 222, 7]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and 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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(320, 201, F3, 2, 6) (dual of [(201, 2), 382, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(320, 201, F3, 3, 6) (dual of [(201, 3), 583, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(320, 201, F3, 4, 6) (dual of [(201, 4), 784, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(320, 201, F3, 5, 6) (dual of [(201, 5), 985, 7]-NRT-code) | [i] | ||
| 5 | Linear OA(328, 255, F3, 8) (dual of [255, 227, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(321, 249, F3, 6) (dual of [249, 228, 7]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 7 | Linear OOA(320, 121, F3, 2, 6) (dual of [(121, 2), 222, 7]-NRT-code) | [i] | OOA Folding | |