Information on Result #618813
Linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(874, 8194, F8, 19) (dual of [8194, 8120, 20]-code) | [i] | Trace Code | |
| 2 | Linear OA(6446, 4162, F64, 19) (dual of [4162, 4116, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6447, 4177, F64, 19) (dual of [4177, 4130, 20]-code) | [i] | ||
| 4 | Linear OA(6448, 4179, F64, 19) (dual of [4179, 4131, 20]-code) | [i] | ||
| 5 | Linear OA(6449, 4201, F64, 19) (dual of [4201, 4152, 20]-code) | [i] | ||
| 6 | Linear OA(6450, 4225, F64, 19) (dual of [4225, 4175, 20]-code) | [i] | ||
| 7 | Linear OA(6452, 4292, F64, 19) (dual of [4292, 4240, 20]-code) | [i] | ||
| 8 | Linear OA(6453, 4552, F64, 19) (dual of [4552, 4499, 20]-code) | [i] | ||
| 9 | Linear OA(6450, 4227, F64, 19) (dual of [4227, 4177, 20]-code) | [i] | ||
| 10 | Linear OA(6451, 4242, F64, 19) (dual of [4242, 4191, 20]-code) | [i] | ||
| 11 | Linear OA(6453, 4115, F64, 19) (dual of [4115, 4062, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(6451, 4113, F64, 19) (dual of [4113, 4062, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(6452, 4227, F64, 19) (dual of [4227, 4175, 20]-code) | [i] | ||
| 14 | Linear OA(6453, 4242, F64, 19) (dual of [4242, 4189, 20]-code) | [i] | ||
| 15 | Linear OA(6445, 4106, F64, 19) (dual of [4106, 4061, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 16 | Linear OA(6442, 4102, F64, 21) (dual of [4102, 4060, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(6438, 4102, F64, 19) (dual of [4102, 4064, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(6448, 4108, F64, 23) (dual of [4108, 4060, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(6440, 4108, F64, 19) (dual of [4108, 4068, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(6454, 4114, F64, 25) (dual of [4114, 4060, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(6442, 4114, F64, 19) (dual of [4114, 4072, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(6460, 4120, F64, 27) (dual of [4120, 4060, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(6444, 4120, F64, 19) (dual of [4120, 4076, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(6466, 4126, F64, 29) (dual of [4126, 4060, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(6472, 4132, F64, 31) (dual of [4132, 4060, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(6478, 4138, F64, 33) (dual of [4138, 4060, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(6484, 4144, F64, 35) (dual of [4144, 4060, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(6490, 4150, F64, 37) (dual of [4150, 4060, 38]-code) | [i] | ✔ | |