Information on Result #689680
Linear OA(965, 6561, F9, 19) (dual of [6561, 6496, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, 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 OOA(965, 3500, F9, 2, 19) (dual of [(3500, 2), 6935, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(965, 3500, F9, 3, 19) (dual of [(3500, 3), 10435, 20]-NRT-code) | [i] | ||
| 3 | Digital (46, 65, 3500)-net over F9 | [i] | ||
| 4 | Linear OA(969, 6565, F9, 20) (dual of [6565, 6496, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(966, 6566, F9, 19) (dual of [6566, 6500, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(967, 6571, F9, 19) (dual of [6571, 6504, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(980, 6576, F9, 22) (dual of [6576, 6496, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(969, 6577, F9, 19) (dual of [6577, 6508, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(971, 6583, F9, 19) (dual of [6583, 6512, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(969, 6581, F9, 18) (dual of [6581, 6512, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(991, 6587, F9, 24) (dual of [6587, 6496, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(972, 6588, F9, 19) (dual of [6588, 6516, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(970, 6581, F9, 19) (dual of [6581, 6511, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(990, 6583, F9, 24) (dual of [6583, 6493, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(993, 6590, F9, 24) (dual of [6590, 6497, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(979, 6572, F9, 22) (dual of [6572, 6493, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(982, 6579, F9, 22) (dual of [6579, 6497, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(970, 6579, F9, 19) (dual of [6579, 6509, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(973, 6590, F9, 19) (dual of [6590, 6517, 20]-code) | [i] | ✔ | |
| 20 | Linear OOA(965, 2187, F9, 3, 19) (dual of [(2187, 3), 6496, 20]-NRT-code) | [i] | OOA Folding | |