Information on Result #699403
Linear OA(8137, 6561, F81, 19) (dual of [6561, 6524, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8139, 6563, F81, 20) (dual of [6563, 6524, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8137, 6563, F81, 19) (dual of [6563, 6526, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(8145, 6569, F81, 22) (dual of [6569, 6524, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(8139, 6569, F81, 19) (dual of [6569, 6530, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(8151, 6575, F81, 24) (dual of [6575, 6524, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(8141, 6575, F81, 19) (dual of [6575, 6534, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(8157, 6581, F81, 26) (dual of [6581, 6524, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(8143, 6581, F81, 19) (dual of [6581, 6538, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(8163, 6587, F81, 28) (dual of [6587, 6524, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(8145, 6587, F81, 19) (dual of [6587, 6542, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(8169, 6593, F81, 30) (dual of [6593, 6524, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(8175, 6599, F81, 32) (dual of [6599, 6524, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(8181, 6605, F81, 34) (dual of [6605, 6524, 35]-code) | [i] | ✔ | |
| 14 | Linear OOA(8137, 2187, F81, 3, 19) (dual of [(2187, 3), 6524, 20]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(8137, 1640, F81, 4, 19) (dual of [(1640, 4), 6523, 20]-NRT-code) | [i] | ||