Information on Result #703169
Linear OA(340, 242, F3, 12) (dual of [242, 202, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(340, 156, F3, 2, 12) (dual of [(156, 2), 272, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(340, 156, F3, 3, 12) (dual of [(156, 3), 428, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(340, 156, F3, 4, 12) (dual of [(156, 4), 584, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(340, 156, F3, 5, 12) (dual of [(156, 5), 740, 13]-NRT-code) | [i] | ||
| 5 | Digital (28, 40, 156)-net over F3 | [i] | ||
| 6 | Linear OA(348, 255, F3, 14) (dual of [255, 207, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(357, 264, F3, 16) (dual of [264, 207, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(355, 261, F3, 15) (dual of [261, 206, 16]-code) | [i] | ✔ | |
| 9 | Linear OOA(340, 121, F3, 2, 12) (dual of [(121, 2), 202, 13]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(340, 60, F3, 4, 12) (dual of [(60, 4), 200, 13]-NRT-code) | [i] | ||