Information on Result #613335
Linear OA(4221, 1025, F4, 59) (dual of [1025, 804, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (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(4249, 1054, F4, 59) (dual of [1054, 805, 60]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4232, 1036, F4, 61) (dual of [1036, 804, 62]-code) | [i] | ✔ | |
| 3 | Linear OA(4222, 1036, F4, 59) (dual of [1036, 814, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(4250, 1049, F4, 65) (dual of [1049, 799, 66]-code) | [i] | ✔ | |
| 5 | Linear OA(4251, 1055, F4, 65) (dual of [1055, 804, 66]-code) | [i] | ✔ | |
| 6 | Linear OA(4247, 1046, F4, 64) (dual of [1046, 799, 65]-code) | [i] | ✔ | |
| 7 | Linear OA(4248, 1052, F4, 64) (dual of [1052, 804, 65]-code) | [i] | ✔ | |
| 8 | Linear OA(4245, 1042, F4, 63) (dual of [1042, 797, 64]-code) | [i] | ✔ | |
| 9 | Linear OA(4246, 1050, F4, 63) (dual of [1050, 804, 64]-code) | [i] | ✔ | |
| 10 | Linear OA(4244, 1046, F4, 62) (dual of [1046, 802, 63]-code) | [i] | ✔ | |
| 11 | Linear OA(4230, 1049, F4, 59) (dual of [1049, 819, 60]-code) | [i] | ✔ | |
| 12 | Linear OA(4231, 1055, F4, 59) (dual of [1055, 824, 60]-code) | [i] | ✔ | |
| 13 | Linear OA(4227, 1046, F4, 58) (dual of [1046, 819, 59]-code) | [i] | ✔ | |
| 14 | Linear OA(4228, 1052, F4, 58) (dual of [1052, 824, 59]-code) | [i] | ✔ | |
| 15 | Linear OA(4234, 1059, F4, 59) (dual of [1059, 825, 60]-code) | [i] | ✔ | |
| 16 | Linear OA(4235, 1062, F4, 59) (dual of [1062, 827, 60]-code) | [i] | ✔ | |
| 17 | Linear OA(4236, 1068, F4, 59) (dual of [1068, 832, 60]-code) | [i] | ✔ | |
| 18 | Linear OA(4237, 1071, F4, 59) (dual of [1071, 834, 60]-code) | [i] | ✔ | |
| 19 | Linear OA(4233, 1059, F4, 58) (dual of [1059, 826, 59]-code) | [i] | ✔ | |
| 20 | Linear OA(4234, 1068, F4, 58) (dual of [1068, 834, 59]-code) | [i] | ✔ | |
| 21 | Linear OA(4240, 1084, F4, 59) (dual of [1084, 844, 60]-code) | [i] | ✔ | |
| 22 | Linear OA(4253, 1101, F4, 59) (dual of [1101, 848, 60]-code) | [i] | ✔ | |
| 23 | Linear OA(4254, 1108, F4, 59) (dual of [1108, 854, 60]-code) | [i] | ✔ | |
| 24 | Linear OA(4251, 1101, F4, 58) (dual of [1101, 850, 59]-code) | [i] | ✔ | |
| 25 | Linear OA(4249, 1046, F4, 65) (dual of [1046, 797, 66]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 26 | Linear OA(4253, 1061, F4, 64) (dual of [1061, 808, 65]-code) | [i] | ✔ | |
| 27 | Linear OA(4252, 1059, F4, 64) (dual of [1059, 807, 65]-code) | [i] | ✔ | |
| 28 | Linear OA(4250, 1057, F4, 63) (dual of [1057, 807, 64]-code) | [i] | ✔ | |
| 29 | Linear OA(4228, 1045, F4, 59) (dual of [1045, 817, 60]-code) | [i] | ✔ | |
| 30 | Linear OA(4233, 1061, F4, 58) (dual of [1061, 828, 59]-code) | [i] | ✔ | |
| 31 | Linear OA(4232, 1059, F4, 58) (dual of [1059, 827, 59]-code) | [i] | ✔ | |