Information on Result #686640
Linear OA(861, 32769, F8, 13) (dual of [32769, 32708, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)
Mode: Constructive and linear.
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(872, 32780, F8, 15) (dual of [32780, 32708, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(874, 32779, F8, 17) (dual of [32779, 32705, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(875, 32783, F8, 17) (dual of [32783, 32708, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(862, 32780, F8, 13) (dual of [32780, 32718, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(888, 32796, F8, 19) (dual of [32796, 32708, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(865, 32793, F8, 13) (dual of [32793, 32728, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(8104, 32812, F8, 21) (dual of [32812, 32708, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(8116, 32824, F8, 23) (dual of [32824, 32708, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(8103, 32806, F8, 21) (dual of [32806, 32703, 22]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 10 | Linear OA(8102, 32804, F8, 21) (dual of [32804, 32702, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(8101, 32802, F8, 21) (dual of [32802, 32701, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(893, 32805, F8, 19) (dual of [32805, 32712, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(892, 32803, F8, 19) (dual of [32803, 32711, 20]-code) | [i] | ✔ | |