Information on Result #680095
Linear OA(4201, 1025, F4, 53) (dual of [1025, 824, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (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(4212, 1036, F4, 55) (dual of [1036, 824, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4214, 1031, F4, 57) (dual of [1031, 817, 58]-code) | [i] | ✔ | |
| 3 | Linear OA(4215, 1039, F4, 57) (dual of [1039, 824, 58]-code) | [i] | ✔ | |
| 4 | Linear OA(4202, 1036, F4, 53) (dual of [1036, 834, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(4230, 1049, F4, 59) (dual of [1049, 819, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(4231, 1055, F4, 59) (dual of [1055, 824, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(4227, 1046, F4, 58) (dual of [1046, 819, 59]-code) | [i] | ✔ | |
| 8 | Linear OA(4228, 1052, F4, 58) (dual of [1052, 824, 59]-code) | [i] | ✔ | |
| 9 | Linear OA(4205, 1042, F4, 53) (dual of [1042, 837, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(4206, 1050, F4, 53) (dual of [1050, 844, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(4204, 1046, F4, 52) (dual of [1046, 842, 53]-code) | [i] | ✔ | |
| 12 | Linear OA(4244, 1059, F4, 61) (dual of [1059, 815, 62]-code) | [i] | ✔ | |
| 13 | Linear OA(4245, 1062, F4, 61) (dual of [1062, 817, 62]-code) | [i] | ✔ | |
| 14 | Linear OA(4246, 1068, F4, 61) (dual of [1068, 822, 62]-code) | [i] | ✔ | |
| 15 | Linear OA(4247, 1071, F4, 61) (dual of [1071, 824, 62]-code) | [i] | ✔ | |
| 16 | Linear OA(4243, 1059, F4, 60) (dual of [1059, 816, 61]-code) | [i] | ✔ | |
| 17 | Linear OA(4244, 1068, F4, 60) (dual of [1068, 824, 61]-code) | [i] | ✔ | |
| 18 | Linear OA(4214, 1059, F4, 53) (dual of [1059, 845, 54]-code) | [i] | ✔ | |
| 19 | Linear OA(4215, 1062, F4, 53) (dual of [1062, 847, 54]-code) | [i] | ✔ | |
| 20 | Linear OA(4216, 1068, F4, 53) (dual of [1068, 852, 54]-code) | [i] | ✔ | |
| 21 | Linear OA(4217, 1071, F4, 53) (dual of [1071, 854, 54]-code) | [i] | ✔ | |
| 22 | Linear OA(4213, 1059, F4, 52) (dual of [1059, 846, 53]-code) | [i] | ✔ | |
| 23 | Linear OA(4214, 1068, F4, 52) (dual of [1068, 854, 53]-code) | [i] | ✔ | |
| 24 | Linear OA(4260, 1084, F4, 63) (dual of [1084, 824, 64]-code) | [i] | ✔ | |
| 25 | Linear OA(4220, 1084, F4, 53) (dual of [1084, 864, 54]-code) | [i] | ✔ | |
| 26 | Linear OA(4223, 1089, F4, 52) (dual of [1089, 866, 53]-code) | [i] | ✔ | |
| 27 | Linear OA(4227, 1101, F4, 52) (dual of [1101, 874, 53]-code) | [i] | ✔ | |
| 28 | Linear OA(4225, 1099, F4, 52) (dual of [1099, 874, 53]-code) | [i] | ✔ | |
| 29 | Linear OA(4245, 1064, F4, 61) (dual of [1064, 819, 62]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 30 | Linear OA(4244, 1062, F4, 61) (dual of [1062, 818, 62]-code) | [i] | ✔ | |
| 31 | Linear OA(4242, 1059, F4, 61) (dual of [1059, 817, 62]-code) | [i] | ✔ | |
| 32 | Linear OA(4228, 1045, F4, 59) (dual of [1045, 817, 60]-code) | [i] | ✔ | |
| 33 | Linear OA(4233, 1061, F4, 58) (dual of [1061, 828, 59]-code) | [i] | ✔ | |
| 34 | Linear OA(4232, 1059, F4, 58) (dual of [1059, 827, 59]-code) | [i] | ✔ | |
| 35 | Linear OA(4219, 1046, F4, 57) (dual of [1046, 827, 58]-code) | [i] | ✔ | |
| 36 | Linear OA(4215, 1064, F4, 53) (dual of [1064, 849, 54]-code) | [i] | ✔ | |
| 37 | Linear OA(4214, 1062, F4, 53) (dual of [1062, 848, 54]-code) | [i] | ✔ | |
| 38 | Linear OA(4212, 1059, F4, 53) (dual of [1059, 847, 54]-code) | [i] | ✔ | |