Information on Result #612804
Linear OA(471, 1025, F4, 19) (dual of [1025, 954, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(484, 1053, F4, 19) (dual of [1053, 969, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(479, 1034, F4, 19) (dual of [1034, 955, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(482, 1036, F4, 21) (dual of [1036, 954, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(472, 1036, F4, 19) (dual of [1036, 964, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(4100, 1049, F4, 25) (dual of [1049, 949, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(4101, 1055, F4, 25) (dual of [1055, 954, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(497, 1046, F4, 24) (dual of [1046, 949, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(498, 1052, F4, 24) (dual of [1052, 954, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(495, 1042, F4, 23) (dual of [1042, 947, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(496, 1050, F4, 23) (dual of [1050, 954, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(494, 1046, F4, 22) (dual of [1046, 952, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(480, 1049, F4, 19) (dual of [1049, 969, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(481, 1055, F4, 19) (dual of [1055, 974, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(477, 1046, F4, 18) (dual of [1046, 969, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(478, 1052, F4, 18) (dual of [1052, 974, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(4114, 1059, F4, 27) (dual of [1059, 945, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(4115, 1062, F4, 27) (dual of [1062, 947, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(4116, 1068, F4, 27) (dual of [1068, 952, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(4117, 1071, F4, 27) (dual of [1071, 954, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(4113, 1059, F4, 26) (dual of [1059, 946, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(4114, 1068, F4, 26) (dual of [1068, 954, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(484, 1059, F4, 19) (dual of [1059, 975, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(4113, 1061, F4, 26) (dual of [1061, 948, 27]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 24 | Linear OA(4112, 1059, F4, 26) (dual of [1059, 947, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(499, 1046, F4, 25) (dual of [1046, 947, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(4103, 1061, F4, 24) (dual of [1061, 958, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(4102, 1059, F4, 24) (dual of [1059, 957, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(4100, 1057, F4, 23) (dual of [1057, 957, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(478, 1045, F4, 19) (dual of [1045, 967, 20]-code) | [i] | ✔ | |