Information on Result #692035
Linear OA(1691, 4096, F16, 33) (dual of [4096, 4005, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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(1691, 2577, F16, 2, 33) (dual of [(2577, 2), 5063, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (58, 91, 2577)-net over F16 | [i] | ||
| 3 | Linear OA(1694, 4099, F16, 34) (dual of [4099, 4005, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1692, 4100, F16, 33) (dual of [4100, 4008, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(1693, 4104, F16, 33) (dual of [4104, 4011, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(16102, 4107, F16, 36) (dual of [4107, 4005, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(1694, 4108, F16, 33) (dual of [4108, 4014, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(1695, 4112, F16, 33) (dual of [4112, 4017, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(16110, 4113, F16, 38) (dual of [4113, 4003, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(16111, 4116, F16, 38) (dual of [4116, 4005, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(1697, 4117, F16, 33) (dual of [4117, 4020, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(1698, 4120, F16, 33) (dual of [4120, 4022, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(1699, 4122, F16, 33) (dual of [4122, 4023, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(1697, 4120, F16, 32) (dual of [4120, 4023, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(16120, 4125, F16, 40) (dual of [4125, 4005, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(16100, 4126, F16, 33) (dual of [4126, 4026, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(16101, 4129, F16, 33) (dual of [4129, 4028, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(16102, 4131, F16, 33) (dual of [4131, 4029, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(16100, 4129, F16, 32) (dual of [4129, 4029, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(16129, 4134, F16, 42) (dual of [4134, 4005, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(16103, 4134, F16, 33) (dual of [4134, 4031, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(16104, 4136, F16, 33) (dual of [4136, 4032, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(16102, 4134, F16, 32) (dual of [4134, 4032, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(16105, 4140, F16, 33) (dual of [4140, 4035, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(16107, 4145, F16, 33) (dual of [4145, 4038, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(16109, 4150, F16, 33) (dual of [4150, 4041, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(16110, 4154, F16, 33) (dual of [4154, 4044, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(16111, 4158, F16, 33) (dual of [4158, 4047, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(16112, 4161, F16, 33) (dual of [4161, 4049, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(16113, 4163, F16, 33) (dual of [4163, 4050, 34]-code) | [i] | ✔ | |
| 31 | Linear OA(16111, 4161, F16, 32) (dual of [4161, 4050, 33]-code) | [i] | ✔ | |
| 32 | Linear OOA(1691, 2048, F16, 2, 33) (dual of [(2048, 2), 4005, 34]-NRT-code) | [i] | OOA Folding | |