Information on Result #614960
Linear OA(881, 32769, F8, 19) (dual of [32769, 32688, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(891, 32783, F8, 19) (dual of [32783, 32692, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(892, 32786, F8, 19) (dual of [32786, 32694, 20]-code) | [i] | ||
| 3 | Linear OA(893, 32793, F8, 19) (dual of [32793, 32700, 20]-code) | [i] | ||
| 4 | Linear OA(894, 32796, F8, 19) (dual of [32796, 32702, 20]-code) | [i] | ||
| 5 | Linear OA(896, 32833, F8, 19) (dual of [32833, 32737, 20]-code) | [i] | ||
| 6 | Linear OA(895, 32785, F8, 19) (dual of [32785, 32690, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(896, 32788, F8, 19) (dual of [32788, 32692, 20]-code) | [i] | ||
| 8 | Linear OA(889, 32778, F8, 19) (dual of [32778, 32689, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(892, 32780, F8, 21) (dual of [32780, 32688, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(882, 32780, F8, 19) (dual of [32780, 32698, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(8105, 32793, F8, 23) (dual of [32793, 32688, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(888, 32796, F8, 19) (dual of [32796, 32708, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(8118, 32806, F8, 25) (dual of [32806, 32688, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(894, 32812, F8, 19) (dual of [32812, 32718, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(8134, 32822, F8, 27) (dual of [32822, 32688, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(8132, 32820, F8, 26) (dual of [32820, 32688, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(8146, 32833, F8, 29) (dual of [32833, 32687, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(8149, 32837, F8, 29) (dual of [32837, 32688, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(8167, 32855, F8, 33) (dual of [32855, 32688, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(8165, 32853, F8, 32) (dual of [32853, 32688, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(893, 32805, F8, 19) (dual of [32805, 32712, 20]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 22 | Linear OA(892, 32803, F8, 19) (dual of [32803, 32711, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(8102, 32791, F8, 21) (dual of [32791, 32689, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |