Information on Result #698730
Linear OA(6437, 4096, F64, 19) (dual of [4096, 4059, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, 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 OA(6439, 4098, F64, 20) (dual of [4098, 4059, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6437, 4098, F64, 19) (dual of [4098, 4061, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(6445, 4104, F64, 22) (dual of [4104, 4059, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(6439, 4104, F64, 19) (dual of [4104, 4065, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(6451, 4110, F64, 24) (dual of [4110, 4059, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(6441, 4110, F64, 19) (dual of [4110, 4069, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(6457, 4116, F64, 26) (dual of [4116, 4059, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(6443, 4116, F64, 19) (dual of [4116, 4073, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(6463, 4122, F64, 28) (dual of [4122, 4059, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(6445, 4122, F64, 19) (dual of [4122, 4077, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(6469, 4128, F64, 30) (dual of [4128, 4059, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(6475, 4134, F64, 32) (dual of [4134, 4059, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(6481, 4140, F64, 34) (dual of [4140, 4059, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(6487, 4146, F64, 36) (dual of [4146, 4059, 37]-code) | [i] | ✔ | |
| 15 | Linear OOA(6437, 455, F64, 19, 19) (dual of [(455, 19), 8608, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |