Information on Result #706193
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 = {73,74,…,89}, 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(451, 265, F4, 17) (dual of [265, 214, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(473, 291, F4, 22) (dual of [291, 218, 23]-code) | [i] | ✔ | |
6 | Linear OA(472, 286, F4, 22) (dual of [286, 214, 23]-code) | [i] | ✔ | |
7 | Linear OA(470, 280, F4, 22) (dual of [280, 210, 23]-code) | [i] | ✔ | |
8 | Linear OOA(449, 85, F4, 3, 17) (dual of [(85, 3), 206, 18]-NRT-code) | [i] | OOA Folding |