Information on Result #707895
Linear OA(496, 1023, F4, 26) (dual of [1023, 927, 27]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,20}, and designed minimum distance d ≥ |I|+1 = 27
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 Expurgated Narrow-Sense BCH-Codes [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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(496, 772, F4, 2, 26) (dual of [(772, 2), 1448, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(496, 772, F4, 3, 26) (dual of [(772, 3), 2220, 27]-NRT-code) | [i] | ||
| 3 | Digital (70, 96, 772)-net over F4 | [i] | ||
| 4 | Linear OA(4111, 1074, F4, 26) (dual of [1074, 963, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4110, 1067, F4, 26) (dual of [1067, 957, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(4109, 1067, F4, 26) (dual of [1067, 958, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(4107, 1060, F4, 26) (dual of [1060, 953, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(4108, 1070, F4, 26) (dual of [1070, 962, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(4107, 1064, F4, 26) (dual of [1064, 957, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(4106, 1063, F4, 26) (dual of [1063, 957, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(4105, 1057, F4, 26) (dual of [1057, 952, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(4104, 1056, F4, 26) (dual of [1056, 952, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(4108, 1055, F4, 27) (dual of [1055, 947, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4107, 1049, F4, 27) (dual of [1049, 942, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4117, 1065, F4, 28) (dual of [1065, 948, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(4114, 1061, F4, 28) (dual of [1061, 947, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(4113, 1055, F4, 28) (dual of [1055, 942, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(4126, 1074, F4, 30) (dual of [1074, 948, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(4125, 1067, F4, 30) (dual of [1067, 942, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(4123, 1070, F4, 30) (dual of [1070, 947, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(4122, 1064, F4, 30) (dual of [1064, 942, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(4133, 1081, F4, 31) (dual of [1081, 948, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(4130, 1077, F4, 31) (dual of [1077, 947, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(4129, 1071, F4, 31) (dual of [1071, 942, 32]-code) | [i] | ✔ | |