Information on Result #612761
Linear OA(461, 1025, F4, 17) (dual of [1025, 964, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(460, 1024, F4, 16) (dual of [1024, 964, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(471, 1039, F4, 17) (dual of [1039, 968, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(468, 1060, F4, 17) (dual of [1060, 992, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(469, 1081, F4, 17) (dual of [1081, 1012, 18]-code) | [i] | ||
| 5 | Linear OA(470, 1112, F4, 17) (dual of [1112, 1042, 18]-code) | [i] | ||
| 6 | Linear OA(471, 1157, F4, 17) (dual of [1157, 1086, 18]-code) | [i] | ||
| 7 | Linear OA(472, 1220, F4, 17) (dual of [1220, 1148, 18]-code) | [i] | ||
| 8 | Linear OA(468, 1033, F4, 17) (dual of [1033, 965, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(472, 1036, F4, 19) (dual of [1036, 964, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(462, 1036, F4, 15) (dual of [1036, 974, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(464, 1031, F4, 17) (dual of [1031, 967, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(465, 1039, F4, 17) (dual of [1039, 974, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(485, 1042, F4, 21) (dual of [1042, 957, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(486, 1050, F4, 21) (dual of [1050, 964, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(484, 1046, F4, 20) (dual of [1046, 962, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(470, 1049, F4, 17) (dual of [1049, 979, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(471, 1055, F4, 17) (dual of [1055, 984, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(467, 1046, F4, 16) (dual of [1046, 979, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(468, 1052, F4, 16) (dual of [1052, 984, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(465, 1042, F4, 15) (dual of [1042, 977, 16]-code) | [i] | ✔ | |
| 21 | Linear OA(466, 1050, F4, 15) (dual of [1050, 984, 16]-code) | [i] | ✔ | |
| 22 | Linear OA(4104, 1059, F4, 25) (dual of [1059, 955, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(4105, 1062, F4, 25) (dual of [1062, 957, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(4106, 1068, F4, 25) (dual of [1068, 962, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(4107, 1071, F4, 25) (dual of [1071, 964, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(4103, 1059, F4, 24) (dual of [1059, 956, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(4104, 1068, F4, 24) (dual of [1068, 964, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(4101, 1065, F4, 23) (dual of [1065, 964, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(4120, 1084, F4, 27) (dual of [1084, 964, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(4103, 1061, F4, 24) (dual of [1061, 958, 25]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 31 | Linear OA(4102, 1059, F4, 24) (dual of [1059, 957, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(4100, 1057, F4, 23) (dual of [1057, 957, 24]-code) | [i] | ✔ | |
| 33 | Linear OA(478, 1045, F4, 19) (dual of [1045, 967, 20]-code) | [i] | ✔ | |
| 34 | Linear OA(469, 1046, F4, 17) (dual of [1046, 977, 18]-code) | [i] | ✔ | |
| 35 | Linear OA(482, 1047, F4, 19) (dual of [1047, 965, 20]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |