Information on Result #707892
Linear OA(491, 1023, F4, 25) (dual of [1023, 932, 26]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,20}, and designed minimum distance d ≥ |I|+1 = 26
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 Expurgated Narrow-Sense BCH-Codes [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(491, 696, F4, 2, 25) (dual of [(696, 2), 1301, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(491, 696, F4, 3, 25) (dual of [(696, 3), 1997, 26]-NRT-code) | [i] | ||
| 3 | Digital (66, 91, 696)-net over F4 | [i] | ||
| 4 | Linear OA(4103, 1066, F4, 25) (dual of [1066, 963, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4102, 1064, F4, 25) (dual of [1064, 962, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(4101, 1059, F4, 25) (dual of [1059, 958, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(4100, 1057, F4, 25) (dual of [1057, 957, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(499, 1052, F4, 25) (dual of [1052, 953, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(497, 1050, F4, 24) (dual of [1050, 953, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(498, 1050, F4, 25) (dual of [1050, 952, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(496, 1046, F4, 24) (dual of [1046, 950, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(4101, 1063, F4, 25) (dual of [1063, 962, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(4100, 1060, F4, 25) (dual of [1060, 960, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(498, 1058, F4, 24) (dual of [1058, 960, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(499, 1056, F4, 25) (dual of [1056, 957, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(498, 1053, F4, 25) (dual of [1053, 955, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(497, 1049, F4, 25) (dual of [1049, 952, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(495, 1047, F4, 24) (dual of [1047, 952, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(496, 1046, F4, 25) (dual of [1046, 950, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(4102, 1049, F4, 26) (dual of [1049, 947, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(4101, 1048, F4, 26) (dual of [1048, 947, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(4100, 1045, F4, 26) (dual of [1045, 945, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(4109, 1057, F4, 27) (dual of [1057, 948, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(4107, 1054, F4, 27) (dual of [1054, 947, 28]-code) | [i] | ✔ | |
| 25 | Linear OA(4106, 1051, F4, 27) (dual of [1051, 945, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(4118, 1066, F4, 29) (dual of [1066, 948, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(4117, 1064, F4, 29) (dual of [1064, 947, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(4116, 1063, F4, 29) (dual of [1063, 947, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(4115, 1060, F4, 29) (dual of [1060, 945, 30]-code) | [i] | ✔ | |
| 30 | Linear OA(4113, 1058, F4, 28) (dual of [1058, 945, 29]-code) | [i] | ✔ | |
| 31 | Linear OA(4125, 1073, F4, 30) (dual of [1073, 948, 31]-code) | [i] | ✔ | |
| 32 | Linear OOA(491, 341, F4, 3, 25) (dual of [(341, 3), 932, 26]-NRT-code) | [i] | OOA Folding | |