Information on Result #703215
Linear OA(345, 242, F3, 13) (dual of [242, 197, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(345, 190, F3, 2, 13) (dual of [(190, 2), 335, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(345, 190, F3, 3, 13) (dual of [(190, 3), 525, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(345, 190, F3, 4, 13) (dual of [(190, 4), 715, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(345, 190, F3, 5, 13) (dual of [(190, 5), 905, 14]-NRT-code) | [i] | ||
| 5 | Digital (32, 45, 190)-net over F3 | [i] | ||
| 6 | Linear OA(358, 255, F3, 17) (dual of [255, 197, 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(380, 276, F3, 21) (dual of [276, 196, 22]-code) | [i] | ✔ | |