Information on Result #706121
Linear OA(449, 255, F4, 17) (dual of [255, 206, 18]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,12}, 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 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(449, 171, F4, 2, 17) (dual of [(171, 2), 293, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(449, 171, F4, 3, 17) (dual of [(171, 3), 464, 18]-NRT-code) | [i] | ||
| 3 | Digital (32, 49, 171)-net over F4 | [i] | ||
| 4 | Linear OA(459, 290, F4, 17) (dual of [290, 231, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(458, 282, F4, 17) (dual of [282, 224, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(458, 285, F4, 17) (dual of [285, 227, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(456, 279, F4, 17) (dual of [279, 223, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(454, 277, F4, 16) (dual of [277, 223, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(457, 287, F4, 17) (dual of [287, 230, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(456, 282, F4, 17) (dual of [282, 226, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(454, 276, F4, 17) (dual of [276, 222, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(464, 283, F4, 19) (dual of [283, 219, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(471, 290, F4, 21) (dual of [290, 219, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(469, 287, F4, 21) (dual of [287, 218, 22]-code) | [i] | ✔ | |
| 15 | Linear OOA(449, 85, F4, 3, 17) (dual of [(85, 3), 206, 18]-NRT-code) | [i] | OOA Folding | |