Information on Result #680089
Linear OA(4231, 1025, F4, 61) (dual of [1025, 794, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (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(4242, 1036, F4, 63) (dual of [1036, 794, 64]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4244, 1031, F4, 65) (dual of [1031, 787, 66]-code) | [i] | ✔ | |
| 3 | Linear OA(4245, 1039, F4, 65) (dual of [1039, 794, 66]-code) | [i] | ✔ | |
| 4 | Linear OA(4232, 1036, F4, 61) (dual of [1036, 804, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(4260, 1049, F4, 67) (dual of [1049, 789, 68]-code) | [i] | ✔ | |
| 6 | Linear OA(4257, 1046, F4, 66) (dual of [1046, 789, 67]-code) | [i] | ✔ | |
| 7 | Linear OA(4258, 1052, F4, 66) (dual of [1052, 794, 67]-code) | [i] | ✔ | |
| 8 | Linear OA(4235, 1042, F4, 61) (dual of [1042, 807, 62]-code) | [i] | ✔ | |
| 9 | Linear OA(4236, 1050, F4, 61) (dual of [1050, 814, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(4234, 1046, F4, 60) (dual of [1046, 812, 61]-code) | [i] | ✔ | |
| 11 | Linear OA(4244, 1059, F4, 61) (dual of [1059, 815, 62]-code) | [i] | ✔ | |
| 12 | Linear OA(4245, 1062, F4, 61) (dual of [1062, 817, 62]-code) | [i] | ✔ | |
| 13 | Linear OA(4246, 1068, F4, 61) (dual of [1068, 822, 62]-code) | [i] | ✔ | |
| 14 | Linear OA(4247, 1071, F4, 61) (dual of [1071, 824, 62]-code) | [i] | ✔ | |
| 15 | Linear OA(4243, 1059, F4, 60) (dual of [1059, 816, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(4244, 1068, F4, 60) (dual of [1068, 824, 61]-code) | [i] | ✔ | |
| 17 | Linear OA(4250, 1084, F4, 61) (dual of [1084, 834, 62]-code) | [i] | ✔ | |
| 18 | Linear OA(4259, 1101, F4, 61) (dual of [1101, 842, 62]-code) | [i] | ✔ | |
| 19 | Linear OA(4260, 1104, F4, 61) (dual of [1104, 844, 62]-code) | [i] | ✔ | |
| 20 | Linear OA(4253, 1089, F4, 60) (dual of [1089, 836, 61]-code) | [i] | ✔ | |
| 21 | Linear OA(4257, 1101, F4, 60) (dual of [1101, 844, 61]-code) | [i] | ✔ | |
| 22 | Linear OA(4255, 1099, F4, 60) (dual of [1099, 844, 61]-code) | [i] | ✔ | |
| 23 | Linear OA(4258, 1045, F4, 67) (dual of [1045, 787, 68]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 24 | Linear OA(4249, 1046, F4, 65) (dual of [1046, 797, 66]-code) | [i] | ✔ | |
| 25 | Linear OA(4245, 1064, F4, 61) (dual of [1064, 819, 62]-code) | [i] | ✔ | |
| 26 | Linear OA(4244, 1062, F4, 61) (dual of [1062, 818, 62]-code) | [i] | ✔ | |
| 27 | Linear OA(4242, 1059, F4, 61) (dual of [1059, 817, 62]-code) | [i] | ✔ | |