Information on Result #618886
Linear OA(6453, 4097, F64, 27) (dual of [4097, 4044, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(8106, 8194, F8, 27) (dual of [8194, 8088, 28]-code) | [i] | Trace Code | |
| 2 | Linear OA(6466, 4162, F64, 27) (dual of [4162, 4096, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6467, 4177, F64, 27) (dual of [4177, 4110, 28]-code) | [i] | ||
| 4 | Linear OA(6468, 4179, F64, 27) (dual of [4179, 4111, 28]-code) | [i] | ||
| 5 | Linear OA(6469, 4201, F64, 27) (dual of [4201, 4132, 28]-code) | [i] | ||
| 6 | Linear OA(6470, 4203, F64, 27) (dual of [4203, 4133, 28]-code) | [i] | ||
| 7 | Linear OA(6471, 4225, F64, 27) (dual of [4225, 4154, 28]-code) | [i] | ||
| 8 | Linear OA(6472, 4227, F64, 27) (dual of [4227, 4155, 28]-code) | [i] | ||
| 9 | Linear OA(6473, 4274, F64, 27) (dual of [4274, 4201, 28]-code) | [i] | ||
| 10 | Linear OA(6474, 4292, F64, 27) (dual of [4292, 4218, 28]-code) | [i] | ||
| 11 | Linear OA(6476, 4413, F64, 27) (dual of [4413, 4337, 28]-code) | [i] | ||
| 12 | Linear OA(6477, 4682, F64, 27) (dual of [4682, 4605, 28]-code) | [i] | ||
| 13 | Linear OA(6475, 4121, F64, 27) (dual of [4121, 4046, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(6477, 4124, F64, 27) (dual of [4124, 4047, 28]-code) | [i] | ||
| 15 | Linear OA(6473, 4119, F64, 27) (dual of [4119, 4046, 28]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(6474, 4121, F64, 27) (dual of [4121, 4047, 28]-code) | [i] | ||
| 17 | Linear OA(6475, 4227, F64, 27) (dual of [4227, 4152, 28]-code) | [i] | ||
| 18 | Linear OA(6476, 4242, F64, 27) (dual of [4242, 4166, 28]-code) | [i] | ||
| 19 | Linear OA(6477, 4257, F64, 27) (dual of [4257, 4180, 28]-code) | [i] | ||
| 20 | Linear OA(6465, 4110, F64, 27) (dual of [4110, 4045, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 21 | Linear OA(6458, 4102, F64, 29) (dual of [4102, 4044, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(6454, 4102, F64, 27) (dual of [4102, 4048, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(6464, 4108, F64, 31) (dual of [4108, 4044, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(6456, 4108, F64, 27) (dual of [4108, 4052, 28]-code) | [i] | ✔ | |
| 25 | Linear OA(6470, 4114, F64, 33) (dual of [4114, 4044, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(6458, 4114, F64, 27) (dual of [4114, 4056, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(6476, 4120, F64, 35) (dual of [4120, 4044, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(6460, 4120, F64, 27) (dual of [4120, 4060, 28]-code) | [i] | ✔ | |
| 29 | Linear OA(6482, 4126, F64, 37) (dual of [4126, 4044, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(6462, 4126, F64, 27) (dual of [4126, 4064, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(6488, 4132, F64, 39) (dual of [4132, 4044, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(6464, 4132, F64, 27) (dual of [4132, 4068, 28]-code) | [i] | ✔ | |