Information on Result #703195
Linear OA(356, 242, F3, 17) (dual of [242, 186, 18]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,13}, and designed minimum distance d ≥ |I|+1 = 18
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(356, 169, F3, 2, 17) (dual of [(169, 2), 282, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(356, 169, F3, 3, 17) (dual of [(169, 3), 451, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(356, 169, F3, 4, 17) (dual of [(169, 4), 620, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(356, 169, F3, 5, 17) (dual of [(169, 5), 789, 18]-NRT-code) | [i] | ||
| 5 | Digital (39, 56, 169)-net over F3 | [i] | ||
| 6 | Linear OA(359, 260, F3, 17) (dual of [260, 201, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(367, 264, F3, 19) (dual of [264, 197, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(365, 261, F3, 18) (dual of [261, 196, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(365, 261, F3, 19) (dual of [261, 196, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(363, 259, F3, 18) (dual of [259, 196, 19]-code) | [i] | ✔ | |