Information on Result #701229
Linear OA(534, 62, F5, 18) (dual of [62, 28, 19]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {1,4,6,11,16,17,19,21,22,24,31,32}, and minimum distance d ≥ |{16,17,…,33}|+1 = 19 (BCH-bound)
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
- BCH-Codes [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(533, 61, F5, 17) (dual of [61, 28, 18]-code) | [i] | Truncation | |
| 2 | Linear OA(538, 75, F5, 18) (dual of [75, 37, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(537, 65, F5, 19) (dual of [65, 28, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(541, 69, F5, 20) (dual of [69, 28, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(543, 71, F5, 21) (dual of [71, 28, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(540, 68, F5, 20) (dual of [68, 28, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OOA(534, 31, F5, 2, 18) (dual of [(31, 2), 28, 19]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(534, 20, F5, 3, 18) (dual of [(20, 3), 26, 19]-NRT-code) | [i] | ||