Information on Result #701218
Linear OA(515, 62, F5, 7) (dual of [62, 47, 8]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {1,4,8,11,17}, and minimum distance d ≥ |{5,8,11,…,23}|+1 = 8 (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 OOA(515, 57, F5, 2, 7) (dual of [(57, 2), 99, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(515, 57, F5, 3, 7) (dual of [(57, 3), 156, 8]-NRT-code) | [i] | ||
| 3 | Digital (8, 15, 57)-net over F5 | [i] | ||
| 4 | Linear OA(5144, 390688, F5, 21) (dual of [390688, 390544, 22]-code) | [i] | Construction X with Cyclic Codes | |
| 5 | Linear OA(5142, 78183, F5, 23) (dual of [78183, 78041, 24]-code) | [i] | ||
| 6 | Linear OA(5128, 78183, F5, 21) (dual of [78183, 78055, 22]-code) | [i] | ||
| 7 | Linear OA(5136, 3181, F5, 29) (dual of [3181, 3045, 30]-code) | [i] | ||
| 8 | Linear OA(515, 65, F5, 7) (dual of [65, 50, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(518, 65, F5, 8) (dual of [65, 47, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(518, 68, F5, 8) (dual of [68, 50, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(521, 68, F5, 9) (dual of [68, 47, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(5135, 78182, F5, 22) (dual of [78182, 78047, 23]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 13 | Linear OA(5149, 78187, F5, 24) (dual of [78187, 78038, 25]-code) | [i] | ||
| 14 | Linear OA(5136, 15682, F5, 25) (dual of [15682, 15546, 26]-code) | [i] | ||
| 15 | Linear OA(5130, 15682, F5, 24) (dual of [15682, 15552, 25]-code) | [i] | ||