Information on Result #618738
Linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(838, 8192, F8, 10) (dual of [8192, 8154, 11]-code) | [i] | Trace Code | |
| 2 | Linear OA(6480, 266241, F64, 21) (dual of [266241, 266161, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6424, 4161, F64, 10) (dual of [4161, 4137, 11]-code) | [i] | ||
| 4 | Linear OA(6425, 4176, F64, 10) (dual of [4176, 4151, 11]-code) | [i] | ||
| 5 | Linear OA(6426, 8129, F64, 10) (dual of [8129, 8103, 11]-code) | [i] | ||
| 6 | Linear OA(6426, 4104, F64, 10) (dual of [4104, 4078, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(6421, 4098, F64, 11) (dual of [4098, 4077, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(6419, 4098, F64, 10) (dual of [4098, 4079, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(6424, 4101, F64, 12) (dual of [4101, 4077, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(6420, 4101, F64, 10) (dual of [4101, 4081, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(6427, 4104, F64, 13) (dual of [4104, 4077, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(6421, 4104, F64, 10) (dual of [4104, 4083, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(6430, 4107, F64, 14) (dual of [4107, 4077, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(6422, 4107, F64, 10) (dual of [4107, 4085, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(6433, 4110, F64, 15) (dual of [4110, 4077, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(6423, 4110, F64, 10) (dual of [4110, 4087, 11]-code) | [i] | ✔ | |
| 17 | Linear OA(6436, 4113, F64, 16) (dual of [4113, 4077, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(6439, 4116, F64, 17) (dual of [4116, 4077, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(6442, 4119, F64, 18) (dual of [4119, 4077, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(6445, 4122, F64, 19) (dual of [4122, 4077, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(6448, 4125, F64, 20) (dual of [4125, 4077, 21]-code) | [i] | ✔ | |
| 22 | Linear OOA(6419, 819, F64, 10, 10) (dual of [(819, 10), 8171, 11]-NRT-code) | [i] | OA Folding and Stacking | |