Information on Result #618869
Linear OA(6449, 4097, F64, 25) (dual of [4097, 4048, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)
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(898, 8194, F8, 25) (dual of [8194, 8096, 26]-code) | [i] | Trace Code | |
| 2 | Linear OA(6461, 4162, F64, 25) (dual of [4162, 4101, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6462, 4177, F64, 25) (dual of [4177, 4115, 26]-code) | [i] | ||
| 4 | Linear OA(6463, 4179, F64, 25) (dual of [4179, 4116, 26]-code) | [i] | ||
| 5 | Linear OA(6464, 4201, F64, 25) (dual of [4201, 4137, 26]-code) | [i] | ||
| 6 | Linear OA(6465, 4203, F64, 25) (dual of [4203, 4138, 26]-code) | [i] | ||
| 7 | Linear OA(6466, 4225, F64, 25) (dual of [4225, 4159, 26]-code) | [i] | ||
| 8 | Linear OA(6467, 4227, F64, 25) (dual of [4227, 4160, 26]-code) | [i] | ||
| 9 | Linear OA(6468, 4274, F64, 25) (dual of [4274, 4206, 26]-code) | [i] | ||
| 10 | Linear OA(6469, 4292, F64, 25) (dual of [4292, 4223, 26]-code) | [i] | ||
| 11 | Linear OA(6470, 4413, F64, 25) (dual of [4413, 4343, 26]-code) | [i] | ||
| 12 | Linear OA(6471, 4682, F64, 25) (dual of [4682, 4611, 26]-code) | [i] | ||
| 13 | Linear OA(6471, 4121, F64, 25) (dual of [4121, 4050, 26]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(6467, 4117, F64, 25) (dual of [4117, 4050, 26]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(6468, 4119, F64, 25) (dual of [4119, 4051, 26]-code) | [i] | ||
| 16 | Linear OA(6469, 4227, F64, 25) (dual of [4227, 4158, 26]-code) | [i] | ||
| 17 | Linear OA(6470, 4242, F64, 25) (dual of [4242, 4172, 26]-code) | [i] | ||
| 18 | Linear OA(6471, 4257, F64, 25) (dual of [4257, 4186, 26]-code) | [i] | ||
| 19 | Linear OA(6461, 4110, F64, 25) (dual of [4110, 4049, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 20 | Linear OA(6454, 4102, F64, 27) (dual of [4102, 4048, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(6450, 4102, F64, 25) (dual of [4102, 4052, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(6460, 4108, F64, 29) (dual of [4108, 4048, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(6452, 4108, F64, 25) (dual of [4108, 4056, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(6466, 4114, F64, 31) (dual of [4114, 4048, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(6454, 4114, F64, 25) (dual of [4114, 4060, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(6472, 4120, F64, 33) (dual of [4120, 4048, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(6456, 4120, F64, 25) (dual of [4120, 4064, 26]-code) | [i] | ✔ | |
| 28 | Linear OA(6478, 4126, F64, 35) (dual of [4126, 4048, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(6458, 4126, F64, 25) (dual of [4126, 4068, 26]-code) | [i] | ✔ | |
| 30 | Linear OA(6484, 4132, F64, 37) (dual of [4132, 4048, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(6460, 4132, F64, 25) (dual of [4132, 4072, 26]-code) | [i] | ✔ | |
| 32 | Linear OA(6490, 4138, F64, 39) (dual of [4138, 4048, 40]-code) | [i] | ✔ | |