Information on Result #707597
Linear OA(466, 1023, F4, 18) (dual of [1023, 957, 19]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {325,326,…,342}, and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(466, 621, F4, 2, 18) (dual of [(621, 2), 1176, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(466, 621, F4, 3, 18) (dual of [(621, 3), 1797, 19]-NRT-code) | [i] | ||
| 3 | Digital (48, 66, 621)-net over F4 | [i] | ||
| 4 | Linear OA(478, 1062, F4, 18) (dual of [1062, 984, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(476, 1058, F4, 18) (dual of [1058, 982, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(472, 1050, F4, 18) (dual of [1050, 978, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(469, 1041, F4, 18) (dual of [1041, 972, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(468, 1033, F4, 18) (dual of [1033, 965, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(467, 1034, F4, 18) (dual of [1034, 967, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(480, 1042, F4, 21) (dual of [1042, 962, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(487, 1050, F4, 22) (dual of [1050, 963, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(4108, 1077, F4, 25) (dual of [1077, 969, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(4107, 1072, F4, 25) (dual of [1072, 965, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(4106, 1070, F4, 25) (dual of [1070, 964, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(4105, 1065, F4, 25) (dual of [1065, 960, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(4104, 1063, F4, 25) (dual of [1063, 959, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(490, 1047, F4, 23) (dual of [1047, 957, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(489, 1039, F4, 23) (dual of [1039, 950, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(497, 1054, F4, 24) (dual of [1054, 957, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(496, 1051, F4, 24) (dual of [1051, 955, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(4115, 1070, F4, 27) (dual of [1070, 955, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(4114, 1068, F4, 27) (dual of [1068, 954, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(4124, 1079, F4, 29) (dual of [1079, 955, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(4123, 1077, F4, 29) (dual of [1077, 954, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(4131, 1086, F4, 30) (dual of [1086, 955, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(4130, 1084, F4, 30) (dual of [1084, 954, 31]-code) | [i] | ✔ | |