Information on Result #613362
Linear OA(4241, 1025, F4, 65) (dual of [1025, 784, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (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(4240, 1024, F4, 64) (dual of [1024, 784, 65]-code) | [i] | Truncation | |
| 2 | Linear OA(4252, 1036, F4, 67) (dual of [1036, 784, 68]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(4242, 1036, F4, 63) (dual of [1036, 794, 64]-code) | [i] | ✔ | |
| 4 | Linear OA(4244, 1031, F4, 65) (dual of [1031, 787, 66]-code) | [i] | ✔ | |
| 5 | Linear OA(4245, 1039, F4, 65) (dual of [1039, 794, 66]-code) | [i] | ✔ | |
| 6 | Linear OA(4250, 1049, F4, 65) (dual of [1049, 799, 66]-code) | [i] | ✔ | |
| 7 | Linear OA(4251, 1055, F4, 65) (dual of [1055, 804, 66]-code) | [i] | ✔ | |
| 8 | Linear OA(4247, 1046, F4, 64) (dual of [1046, 799, 65]-code) | [i] | ✔ | |
| 9 | Linear OA(4248, 1052, F4, 64) (dual of [1052, 804, 65]-code) | [i] | ✔ | |
| 10 | Linear OA(4245, 1042, F4, 63) (dual of [1042, 797, 64]-code) | [i] | ✔ | |
| 11 | Linear OA(4246, 1050, F4, 63) (dual of [1050, 804, 64]-code) | [i] | ✔ | |
| 12 | Linear OA(4244, 1046, F4, 62) (dual of [1046, 802, 63]-code) | [i] | ✔ | |
| 13 | Linear OA(4254, 1059, F4, 65) (dual of [1059, 805, 66]-code) | [i] | ✔ | |
| 14 | Linear OA(4255, 1062, F4, 65) (dual of [1062, 807, 66]-code) | [i] | ✔ | |
| 15 | Linear OA(4256, 1068, F4, 65) (dual of [1068, 812, 66]-code) | [i] | ✔ | |
| 16 | Linear OA(4257, 1071, F4, 65) (dual of [1071, 814, 66]-code) | [i] | ✔ | |
| 17 | Linear OA(4253, 1059, F4, 64) (dual of [1059, 806, 65]-code) | [i] | ✔ | |
| 18 | Linear OA(4254, 1068, F4, 64) (dual of [1068, 814, 65]-code) | [i] | ✔ | |
| 19 | Linear OA(4251, 1065, F4, 63) (dual of [1065, 814, 64]-code) | [i] | ✔ | |
| 20 | Linear OA(4248, 1062, F4, 62) (dual of [1062, 814, 63]-code) | [i] | ✔ | |
| 21 | Linear OA(4260, 1084, F4, 63) (dual of [1084, 824, 64]-code) | [i] | ✔ | |
| 22 | Linear OA(4258, 1045, F4, 67) (dual of [1045, 787, 68]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(4249, 1046, F4, 65) (dual of [1046, 797, 66]-code) | [i] | ✔ | |
| 24 | Linear OA(4253, 1061, F4, 64) (dual of [1061, 808, 65]-code) | [i] | ✔ | |
| 25 | Linear OA(4252, 1059, F4, 64) (dual of [1059, 807, 65]-code) | [i] | ✔ | |
| 26 | Linear OA(4250, 1057, F4, 63) (dual of [1057, 807, 64]-code) | [i] | ✔ | |