Information on Result #613386
Linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69
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(4241, 1024, F4, 68) (dual of [1024, 783, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4241, 1024, F4, 67) (dual of [1024, 783, 68]-code) | [i] | ||
| 3 | Linear OA(4241, 1024, F4, 66) (dual of [1024, 783, 67]-code) | [i] | ||
| 4 | Linear OA(4242, 1025, F4, 69) (dual of [1025, 783, 70]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(4243, 1026, F4, 69) (dual of [1026, 783, 70]-code) | [i] | ||
| 6 | Linear OA(4244, 1027, F4, 69) (dual of [1027, 783, 70]-code) | [i] | ||
| 7 | Linear OA(4239, 1022, F4, 67) (dual of [1022, 783, 68]-code) | [i] | Truncation | |
| 8 | Linear OA(4238, 1021, F4, 66) (dual of [1021, 783, 67]-code) | [i] | ||
| 9 | Linear OA(4237, 1020, F4, 65) (dual of [1020, 783, 66]-code) | [i] | ||
| 10 | Linear OA(4236, 1019, F4, 64) (dual of [1019, 783, 65]-code) | [i] | ||
| 11 | Linear OA(4235, 1018, F4, 63) (dual of [1018, 783, 64]-code) | [i] | ||
| 12 | Linear OA(4246, 1029, F4, 70) (dual of [1029, 783, 71]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(4242, 1030, F4, 65) (dual of [1030, 788, 66]-code) | [i] | ✔ | |
| 14 | Linear OA(4246, 1030, F4, 69) (dual of [1030, 784, 70]-code) | [i] | ✔ | |
| 15 | Linear OA(4247, 1035, F4, 69) (dual of [1035, 788, 70]-code) | [i] | ✔ | |
| 16 | Linear OA(4244, 1030, F4, 67) (dual of [1030, 786, 68]-code) | [i] | ✔ | |
| 17 | Linear OA(4252, 1035, F4, 71) (dual of [1035, 783, 72]-code) | [i] | ✔ | |
| 18 | Linear OA(4242, 1035, F4, 64) (dual of [1035, 793, 65]-code) | [i] | ✔ | |
| 19 | Linear OA(4249, 1041, F4, 69) (dual of [1041, 792, 70]-code) | [i] | ✔ | |
| 20 | Linear OA(4250, 1043, F4, 69) (dual of [1043, 793, 70]-code) | [i] | ✔ | |
| 21 | Linear OA(4247, 1036, F4, 68) (dual of [1036, 789, 69]-code) | [i] | ✔ | |
| 22 | Linear OA(4247, 1040, F4, 67) (dual of [1040, 793, 68]-code) | [i] | ✔ | |
| 23 | Linear OA(4245, 1038, F4, 66) (dual of [1038, 793, 67]-code) | [i] | ✔ | |
| 24 | Linear OA(4260, 1041, F4, 73) (dual of [1041, 781, 74]-code) | [i] | ✔ | |
| 25 | Linear OA(4259, 1042, F4, 72) (dual of [1042, 783, 73]-code) | [i] | ✔ | |
| 26 | Linear OA(4252, 1050, F4, 69) (dual of [1050, 798, 70]-code) | [i] | ✔ | |
| 27 | Linear OA(4247, 1045, F4, 66) (dual of [1045, 798, 67]-code) | [i] | ✔ | |
| 28 | Linear OA(4245, 1041, F4, 65) (dual of [1041, 796, 66]-code) | [i] | ✔ | |
| 29 | Linear OA(4244, 1042, F4, 64) (dual of [1042, 798, 65]-code) | [i] | ✔ | |
| 30 | Linear OA(4258, 1060, F4, 69) (dual of [1060, 802, 70]-code) | [i] | ✔ | |
| 31 | Linear OA(4259, 1062, F4, 69) (dual of [1062, 803, 70]-code) | [i] | ✔ | |
| 32 | Linear OA(4254, 1057, F4, 67) (dual of [1057, 803, 68]-code) | [i] | ✔ | |
| 33 | Linear OA(4260, 1065, F4, 69) (dual of [1065, 805, 70]-code) | [i] | ✔ | |
| 34 | Linear OA(4260, 1068, F4, 68) (dual of [1068, 808, 69]-code) | [i] | ✔ | |
| 35 | Linear OA(4254, 1058, F4, 66) (dual of [1058, 804, 67]-code) | [i] | ✔ | |
| 36 | Linear OA(4255, 1061, F4, 66) (dual of [1061, 806, 67]-code) | [i] | ✔ | |
| 37 | Linear OA(4256, 1064, F4, 66) (dual of [1064, 808, 67]-code) | [i] | ✔ | |
| 38 | Linear OA(4253, 1058, F4, 65) (dual of [1058, 805, 66]-code) | [i] | ✔ | |
| 39 | Linear OA(4254, 1062, F4, 65) (dual of [1062, 808, 66]-code) | [i] | ✔ | |
| 40 | Linear OA(4251, 1059, F4, 64) (dual of [1059, 808, 65]-code) | [i] | ✔ | |
| 41 | Linear OA(4260, 1073, F4, 67) (dual of [1073, 813, 68]-code) | [i] | ✔ | |
| 42 | Linear OA(4260, 1078, F4, 65) (dual of [1078, 818, 66]-code) | [i] | ✔ | |
| 43 | Linear OA(4260, 1083, F4, 64) (dual of [1083, 823, 65]-code) | [i] | ✔ | |
| 44 | Linear OA(4248, 1041, F4, 68) (dual of [1041, 793, 69]-code) | [i] | ✔ | |
| 45 | Linear OA(4248, 1044, F4, 67) (dual of [1044, 796, 68]-code) | [i] | ✔ | |
| 46 | Linear OA(4249, 1047, F4, 67) (dual of [1047, 798, 68]-code) | [i] | ✔ | |
| 47 | Linear OA(4254, 1059, F4, 66) (dual of [1059, 805, 67]-code) | [i] | ✔ | |
| 48 | Linear OA(4252, 1055, F4, 66) (dual of [1055, 803, 67]-code) | [i] | ✔ | |
| 49 | Linear OA(4258, 1037, F4, 72) (dual of [1037, 779, 73]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 50 | Linear OA(4260, 1045, F4, 71) (dual of [1045, 785, 72]-code) | [i] | ✔ | |
| 51 | Linear OA(4258, 1042, F4, 71) (dual of [1042, 784, 72]-code) | [i] | ✔ | |
| 52 | Linear OA(4252, 1036, F4, 70) (dual of [1036, 784, 71]-code) | [i] | ✔ | |
| 53 | Linear OA(4248, 1037, F4, 69) (dual of [1037, 789, 70]-code) | [i] | ✔ | |
| 54 | Linear OA(4243, 1032, F4, 65) (dual of [1032, 789, 66]-code) | [i] | ✔ | |
| 55 | Linear OA(4249, 1044, F4, 67) (dual of [1044, 795, 68]-code) | [i] | ✔ | |
| 56 | Linear OA(4248, 1042, F4, 67) (dual of [1042, 794, 68]-code) | [i] | ✔ | |
| 57 | Linear OA(4246, 1040, F4, 66) (dual of [1040, 794, 67]-code) | [i] | ✔ | |
| 58 | Linear OA(4243, 1037, F4, 64) (dual of [1037, 794, 65]-code) | [i] | ✔ | |
| 59 | Linear OA(4252, 1053, F4, 66) (dual of [1053, 801, 67]-code) | [i] | ✔ | |
| 60 | Linear OA(4250, 1051, F4, 65) (dual of [1051, 801, 66]-code) | [i] | ✔ | |
| 61 | Linear OA(4257, 1057, F4, 69) (dual of [1057, 800, 70]-code) | [i] | ✔ | |
| 62 | Linear OA(4251, 1051, F4, 66) (dual of [1051, 800, 67]-code) | [i] | ✔ | |
| 63 | Linear OA(4249, 1049, F4, 65) (dual of [1049, 800, 66]-code) | [i] | ✔ | |
| 64 | Linear OA(4247, 1047, F4, 64) (dual of [1047, 800, 65]-code) | [i] | ✔ | |
| 65 | Linear OA(4256, 1055, F4, 69) (dual of [1055, 799, 70]-code) | [i] | ✔ | |
| 66 | Linear OA(4253, 1052, F4, 67) (dual of [1052, 799, 68]-code) | [i] | ✔ | |
| 67 | Linear OA(4250, 1049, F4, 66) (dual of [1049, 799, 67]-code) | [i] | ✔ | |
| 68 | Linear OA(4248, 1047, F4, 65) (dual of [1047, 799, 66]-code) | [i] | ✔ | |
| 69 | Linear OA(4246, 1045, F4, 64) (dual of [1045, 799, 65]-code) | [i] | ✔ | |
| 70 | Linear OA(4257, 1062, F4, 67) (dual of [1062, 805, 68]-code) | [i] | ✔ | |
| 71 | Linear OA(4250, 1055, F4, 64) (dual of [1055, 805, 65]-code) | [i] | ✔ | |
| 72 | Linear OA(4255, 1059, F4, 67) (dual of [1059, 804, 68]-code) | [i] | ✔ | |
| 73 | Linear OA(4250, 1045, F4, 68) (dual of [1045, 795, 69]-code) | [i] | ✔ | |
| 74 | Linear OA(4249, 1043, F4, 68) (dual of [1043, 794, 69]-code) | [i] | ✔ | |
| 75 | Linear OA(4253, 1054, F4, 67) (dual of [1054, 801, 68]-code) | [i] | ✔ | |
| 76 | Linear OA(4252, 1052, F4, 67) (dual of [1052, 800, 68]-code) | [i] | ✔ | |
| 77 | Linear OA(4253, 1052, F4, 68) (dual of [1052, 799, 69]-code) | [i] | ✔ | |
| 78 | Linear OA(4251, 1050, F4, 67) (dual of [1050, 799, 68]-code) | [i] | ✔ | |
| 79 | Linear OA(4256, 1061, F4, 67) (dual of [1061, 805, 68]-code) | [i] | ✔ | |
| 80 | Linear OA(4256, 1057, F4, 68) (dual of [1057, 801, 69]-code) | [i] | ✔ | |
| 81 | Linear OA(4255, 1055, F4, 68) (dual of [1055, 800, 69]-code) | [i] | ✔ | |
| 82 | Linear OA(4253, 1057, F4, 66) (dual of [1057, 804, 67]-code) | [i] | ✔ | |
| 83 | Linear OOA(4241, 512, F4, 2, 69) (dual of [(512, 2), 783, 70]-NRT-code) | [i] | OOA Folding | |