Information on Result #703138
Linear OA(341, 242, F3, 13) (dual of [242, 201, 14]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,9}, and designed minimum distance d ≥ |I|+1 = 14
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(341, 125, F3, 2, 13) (dual of [(125, 2), 209, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(341, 125, F3, 3, 13) (dual of [(125, 3), 334, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(341, 125, F3, 4, 13) (dual of [(125, 4), 459, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(341, 125, F3, 5, 13) (dual of [(125, 5), 584, 14]-NRT-code) | [i] | ||
| 5 | Digital (28, 41, 125)-net over F3 | [i] | ||
| 6 | Linear OA(347, 264, F3, 13) (dual of [264, 217, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(345, 261, F3, 12) (dual of [261, 216, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(347, 268, F3, 13) (dual of [268, 221, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(345, 266, F3, 12) (dual of [266, 221, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(345, 261, F3, 13) (dual of [261, 216, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(343, 259, F3, 12) (dual of [259, 216, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(349, 260, F3, 14) (dual of [260, 211, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(357, 268, F3, 16) (dual of [268, 211, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(355, 266, F3, 15) (dual of [266, 211, 16]-code) | [i] | ✔ | |
| 15 | Linear OOA(341, 48, F3, 5, 13) (dual of [(48, 5), 199, 14]-NRT-code) | [i] | OOA Folding | |