Information on Result #614846
Linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(835, 32767, F8, 8) (dual of [32767, 32732, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(840, 32777, F8, 9) (dual of [32777, 32737, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(841, 32782, F8, 9) (dual of [32782, 32741, 10]-code) | [i] | ||
| 4 | Linear OA(842, 32824, F8, 9) (dual of [32824, 32782, 10]-code) | [i] | ||
| 5 | Linear OA(842, 32826, F8, 9) (dual of [32826, 32784, 10]-code) | [i] | ||
| 6 | Linear OA(841, 32773, F8, 10) (dual of [32773, 32732, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(837, 32774, F8, 9) (dual of [32774, 32737, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(847, 32779, F8, 11) (dual of [32779, 32732, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(837, 32779, F8, 8) (dual of [32779, 32742, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(838, 32777, F8, 9) (dual of [32777, 32739, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(839, 32781, F8, 9) (dual of [32781, 32742, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(854, 32786, F8, 12) (dual of [32786, 32732, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(840, 32787, F8, 9) (dual of [32787, 32747, 10]-code) | [i] | ✔ | |
| 14 | Linear OA(860, 32792, F8, 13) (dual of [32792, 32732, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(840, 32792, F8, 8) (dual of [32792, 32752, 9]-code) | [i] | ✔ | |
| 16 | Linear OA(867, 32799, F8, 14) (dual of [32799, 32732, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(873, 32805, F8, 15) (dual of [32805, 32732, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(884, 32816, F8, 17) (dual of [32816, 32732, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(882, 32814, F8, 16) (dual of [32814, 32732, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(890, 32822, F8, 18) (dual of [32822, 32732, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(866, 32794, F8, 14) (dual of [32794, 32728, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(862, 32795, F8, 13) (dual of [32795, 32733, 14]-code) | [i] | ✔ | |
| 23 | Linear OA(853, 32781, F8, 12) (dual of [32781, 32728, 13]-code) | [i] | ✔ | |
| 24 | Linear OA(856, 32789, F8, 12) (dual of [32789, 32733, 13]-code) | [i] | ✔ | |
| 25 | Linear OA(841, 32789, F8, 9) (dual of [32789, 32748, 10]-code) | [i] | ✔ | |
| 26 | Linear OA(847, 32780, F8, 11) (dual of [32780, 32733, 12]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(837, 32780, F8, 8) (dual of [32780, 32743, 9]-code) | [i] | ✔ | |
| 28 | Linear OOA(836, 16384, F8, 2, 9) (dual of [(16384, 2), 32732, 10]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(836, 10922, F8, 3, 9) (dual of [(10922, 3), 32730, 10]-NRT-code) | [i] | ||
| 30 | Linear OOA(836, 8191, F8, 9, 9) (dual of [(8191, 9), 73683, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |