Information on Result #687187
Linear OA(865, 4096, F8, 19) (dual of [4096, 4031, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, 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(865, 2565, F8, 2, 19) (dual of [(2565, 2), 5065, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(865, 2565, F8, 3, 19) (dual of [(2565, 3), 7630, 20]-NRT-code) | [i] | ||
| 3 | Digital (46, 65, 2565)-net over F8 | [i] | ||
| 4 | Linear OA(869, 4100, F8, 20) (dual of [4100, 4031, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(865, 4100, F8, 19) (dual of [4100, 4035, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(880, 4111, F8, 22) (dual of [4111, 4031, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(869, 4112, F8, 19) (dual of [4112, 4043, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(871, 4118, F8, 19) (dual of [4118, 4047, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(892, 4123, F8, 25) (dual of [4123, 4031, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(872, 4123, F8, 19) (dual of [4123, 4051, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(8100, 4131, F8, 26) (dual of [4131, 4031, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(870, 4116, F8, 19) (dual of [4116, 4046, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(899, 4130, F8, 26) (dual of [4130, 4031, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(899, 4129, F8, 26) (dual of [4129, 4030, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(898, 4127, F8, 26) (dual of [4127, 4029, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(897, 4125, F8, 26) (dual of [4125, 4028, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(890, 4118, F8, 24) (dual of [4118, 4028, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(895, 4129, F8, 25) (dual of [4129, 4034, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(894, 4127, F8, 25) (dual of [4127, 4033, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(893, 4125, F8, 25) (dual of [4125, 4032, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(879, 4107, F8, 22) (dual of [4107, 4028, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(870, 4114, F8, 19) (dual of [4114, 4044, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(873, 4125, F8, 19) (dual of [4125, 4052, 20]-code) | [i] | ✔ | |
| 24 | Linear OOA(865, 455, F8, 19, 19) (dual of [(455, 19), 8580, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |