Information on Result #703074
Linear OA(316, 242, F3, 5) (dual of [242, 226, 6]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(316, 219, F3, 2, 5) (dual of [(219, 2), 422, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(316, 219, F3, 3, 5) (dual of [(219, 3), 641, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(316, 219, F3, 4, 5) (dual of [(219, 4), 860, 6]-NRT-code) | [i] | ||
| 4 | Linear OA(318, 255, F3, 5) (dual of [255, 237, 6]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(321, 252, F3, 6) (dual of [252, 231, 7]-code) | [i] | ✔ | |