Information on Result #701257
Linear OA(518, 62, F5, 8) (dual of [62, 44, 9]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {1,4,6,8,11,17}, and minimum distance d ≥ |{5,8,11,…,26}|+1 = 9 (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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5149, 3184, F5, 32) (dual of [3184, 3035, 33]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(5139, 3184, F5, 30) (dual of [3184, 3045, 31]-code) | [i] | ||
| 3 | Linear OA(518, 68, F5, 8) (dual of [68, 50, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(521, 68, F5, 9) (dual of [68, 47, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(5145, 15685, F5, 27) (dual of [15685, 15540, 28]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 6 | Linear OA(5139, 15685, F5, 26) (dual of [15685, 15546, 27]-code) | [i] | ||