Information on Result #701265
Linear OA(540, 62, F5, 21) (dual of [62, 22, 22]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {0,1,2,3,4,6,7,8,9,11,12,16,17,37}, and minimum distance d ≥ |{−2,−1,…,18}|+1 = 22 (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
- Cyclic Codes (BCH-Bound) (hidden) [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
- Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(545, 77, F5, 21) (dual of [77, 32, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(543, 75, F5, 20) (dual of [75, 32, 21]-code) | [i] | ✔ | |
| 3 | Linear OA(543, 72, F5, 21) (dual of [72, 29, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(544, 75, F5, 21) (dual of [75, 31, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(542, 73, F5, 20) (dual of [73, 31, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(542, 70, F5, 21) (dual of [70, 28, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(545, 70, F5, 23) (dual of [70, 25, 24]-code) | [i] | ✔ | |
| 8 | Linear OOA(540, 31, F5, 2, 21) (dual of [(31, 2), 22, 22]-NRT-code) | [i] | OOA Folding | |