Information on Result #706137
Linear OA(449, 255, F4, 16) (dual of [255, 206, 17]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {71,72,…,86}, and designed minimum distance d ≥ |I|+1 = 17
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(449, 224, F4, 2, 16) (dual of [(224, 2), 399, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(449, 224, F4, 3, 16) (dual of [(224, 3), 623, 17]-NRT-code) | [i] | ||
3 | Digital (33, 49, 224)-net over F4 | [i] | ||
4 | Linear OA(453, 275, F4, 16) (dual of [275, 222, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(464, 275, F4, 20) (dual of [275, 211, 21]-code) | [i] | ✔ | |
6 | Linear OA(458, 268, F4, 19) (dual of [268, 210, 20]-code) | [i] | ✔ | |
7 | Linear OA(463, 273, F4, 20) (dual of [273, 210, 21]-code) | [i] | ✔ | |
8 | Linear OA(472, 282, F4, 22) (dual of [282, 210, 23]-code) | [i] | ✔ |