Information on Result #615046
Linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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(884, 4095, F8, 24) (dual of [4095, 4011, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(897, 4109, F8, 25) (dual of [4109, 4012, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OOA(885, 2663, F8, 2, 25) (dual of [(2663, 2), 5241, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(885, 2663, F8, 3, 25) (dual of [(2663, 3), 7904, 26]-NRT-code) | [i] | ||
| 5 | Digital (60, 85, 2663)-net over F8 | [i] | ||
| 6 | Linear OA(890, 4132, F8, 25) (dual of [4132, 4042, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(891, 4188, F8, 25) (dual of [4188, 4097, 26]-code) | [i] | ||
| 8 | Linear OA(892, 4311, F8, 25) (dual of [4311, 4219, 26]-code) | [i] | ||
| 9 | Linear OA(893, 4537, F8, 25) (dual of [4537, 4444, 26]-code) | [i] | ||
| 10 | Linear OA(894, 4868, F8, 25) (dual of [4868, 4774, 26]-code) | [i] | ||
| 11 | Linear OA(895, 5281, F8, 25) (dual of [5281, 5186, 26]-code) | [i] | ||
| 12 | Linear OA(889, 4100, F8, 26) (dual of [4100, 4011, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(886, 4101, F8, 25) (dual of [4101, 4015, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(894, 4105, F8, 27) (dual of [4105, 4011, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(886, 4105, F8, 24) (dual of [4105, 4019, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(887, 4105, F8, 25) (dual of [4105, 4018, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(888, 4107, F8, 25) (dual of [4107, 4019, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(8100, 4111, F8, 28) (dual of [4111, 4011, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(889, 4112, F8, 25) (dual of [4112, 4023, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(8105, 4116, F8, 29) (dual of [4116, 4011, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(891, 4118, F8, 25) (dual of [4118, 4027, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(889, 4116, F8, 24) (dual of [4116, 4027, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(8111, 4122, F8, 30) (dual of [4122, 4011, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(892, 4123, F8, 25) (dual of [4123, 4031, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(8116, 4127, F8, 31) (dual of [4127, 4011, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(896, 4131, F8, 25) (dual of [4131, 4035, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(892, 4127, F8, 24) (dual of [4127, 4035, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(8126, 4137, F8, 33) (dual of [4137, 4011, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(8124, 4135, F8, 32) (dual of [4135, 4011, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(8131, 4142, F8, 34) (dual of [4142, 4011, 35]-code) | [i] | ✔ | |
| 31 | Linear OA(8136, 4147, F8, 35) (dual of [4147, 4011, 36]-code) | [i] | ✔ | |
| 32 | Linear OA(8141, 4152, F8, 36) (dual of [4152, 4011, 37]-code) | [i] | ✔ | |
| 33 | Linear OA(890, 4116, F8, 25) (dual of [4116, 4026, 26]-code) | [i] | ✔ | |
| 34 | Linear OA(895, 4130, F8, 25) (dual of [4130, 4035, 26]-code) | [i] | ✔ | |
| 35 | Linear OA(8123, 4134, F8, 32) (dual of [4134, 4011, 33]-code) | [i] | ✔ | |
| 36 | Linear OA(8110, 4118, F8, 30) (dual of [4118, 4008, 31]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 37 | Linear OA(8115, 4129, F8, 30) (dual of [4129, 4014, 31]-code) | [i] | ✔ | |
| 38 | Linear OA(8114, 4127, F8, 30) (dual of [4127, 4013, 31]-code) | [i] | ✔ | |
| 39 | Linear OA(8113, 4125, F8, 30) (dual of [4125, 4012, 31]-code) | [i] | ✔ | |
| 40 | Linear OA(8107, 4119, F8, 29) (dual of [4119, 4012, 30]-code) | [i] | ✔ | |
| 41 | Linear OA(899, 4107, F8, 28) (dual of [4107, 4008, 29]-code) | [i] | ✔ | |
| 42 | Linear OA(8102, 4114, F8, 28) (dual of [4114, 4012, 29]-code) | [i] | ✔ | |
| 43 | Linear OA(896, 4108, F8, 27) (dual of [4108, 4012, 28]-code) | [i] | ✔ | |
| 44 | Linear OA(887, 4107, F8, 24) (dual of [4107, 4020, 25]-code) | [i] | ✔ | |
| 45 | Linear OA(890, 4114, F8, 25) (dual of [4114, 4024, 26]-code) | [i] | ✔ | |
| 46 | Linear OA(890, 4118, F8, 24) (dual of [4118, 4028, 25]-code) | [i] | ✔ | |
| 47 | Linear OA(895, 4129, F8, 25) (dual of [4129, 4034, 26]-code) | [i] | ✔ | |
| 48 | Linear OA(894, 4127, F8, 25) (dual of [4127, 4033, 26]-code) | [i] | ✔ | |
| 49 | Linear OA(893, 4125, F8, 25) (dual of [4125, 4032, 26]-code) | [i] | ✔ | |
| 50 | Linear OOA(885, 2048, F8, 2, 25) (dual of [(2048, 2), 4011, 26]-NRT-code) | [i] | OOA Folding | |
| 51 | Linear OOA(885, 1365, F8, 3, 25) (dual of [(1365, 3), 4010, 26]-NRT-code) | [i] | ||