Information on Result #709819
Linear OA(524, 124, F5, 10) (dual of [124, 100, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(524, 92, F5, 2, 10) (dual of [(92, 2), 160, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(524, 92, F5, 3, 10) (dual of [(92, 3), 252, 11]-NRT-code) | [i] | ||
| 3 | Linear OA(539, 142, F5, 14) (dual of [142, 103, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(545, 148, F5, 16) (dual of [148, 103, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(547, 147, F5, 17) (dual of [147, 100, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(552, 152, F5, 18) (dual of [152, 100, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(536, 136, F5, 14) (dual of [136, 100, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(551, 151, F5, 18) (dual of [151, 100, 19]-code) | [i] | ✔ | |
| 9 | Linear OOA(524, 62, F5, 2, 10) (dual of [(62, 2), 100, 11]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(524, 41, F5, 3, 10) (dual of [(41, 3), 99, 11]-NRT-code) | [i] | ||