Information on Result #692029
Linear OA(16103, 4096, F16, 37) (dual of [4096, 3993, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(16103, 2976, F16, 2, 37) (dual of [(2976, 2), 5849, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (66, 103, 2976)-net over F16 | [i] | ||
| 3 | Linear OA(16106, 4099, F16, 38) (dual of [4099, 3993, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(16103, 4099, F16, 37) (dual of [4099, 3996, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(16114, 4107, F16, 40) (dual of [4107, 3993, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(16105, 4107, F16, 37) (dual of [4107, 4002, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(16122, 4113, F16, 42) (dual of [4113, 3991, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(16123, 4116, F16, 42) (dual of [4116, 3993, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(16109, 4117, F16, 37) (dual of [4117, 4008, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(16110, 4120, F16, 37) (dual of [4120, 4010, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(16111, 4122, F16, 37) (dual of [4122, 4011, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(16112, 4126, F16, 37) (dual of [4126, 4014, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(16113, 4129, F16, 37) (dual of [4129, 4016, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(16114, 4131, F16, 37) (dual of [4131, 4017, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(16115, 4134, F16, 37) (dual of [4134, 4019, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(16116, 4136, F16, 37) (dual of [4136, 4020, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(16117, 4140, F16, 37) (dual of [4140, 4023, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(16119, 4145, F16, 37) (dual of [4145, 4026, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(16121, 4150, F16, 37) (dual of [4150, 4029, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(16122, 4154, F16, 37) (dual of [4154, 4032, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(16123, 4158, F16, 37) (dual of [4158, 4035, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(16124, 4161, F16, 37) (dual of [4161, 4037, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(16125, 4163, F16, 37) (dual of [4163, 4038, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(16128, 4167, F16, 37) (dual of [4167, 4039, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(16129, 4169, F16, 37) (dual of [4169, 4040, 38]-code) | [i] | ✔ | |
| 26 | Linear OA(16130, 4171, F16, 37) (dual of [4171, 4041, 38]-code) | [i] | ✔ | |