Information on Result #686644
Linear OA(851, 32769, F8, 11) (dual of [32769, 32718, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(862, 32780, F8, 13) (dual of [32780, 32718, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(878, 32796, F8, 17) (dual of [32796, 32718, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(875, 32793, F8, 15) (dual of [32793, 32718, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(894, 32812, F8, 19) (dual of [32812, 32718, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(8106, 32824, F8, 21) (dual of [32824, 32718, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(893, 32805, F8, 19) (dual of [32805, 32712, 20]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 7 | Linear OA(892, 32803, F8, 19) (dual of [32803, 32711, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(883, 32805, F8, 17) (dual of [32805, 32722, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(882, 32803, F8, 17) (dual of [32803, 32721, 18]-code) | [i] | ✔ | |