Information on Result #707352
Linear OA(4106, 1023, F4, 29) (dual of [1023, 917, 30]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {313,314,…,341}, and designed minimum distance d ≥ |I|+1 = 30
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4106, 779, F4, 2, 29) (dual of [(779, 2), 1452, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4106, 779, F4, 3, 29) (dual of [(779, 3), 2231, 30]-NRT-code) | [i] | ||
| 3 | Digital (77, 106, 779)-net over F4 | [i] | ||
| 4 | Linear OA(4173, 1090, F4, 40) (dual of [1090, 917, 41]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4123, 1062, F4, 30) (dual of [1062, 939, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(4121, 1058, F4, 30) (dual of [1058, 937, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(4127, 1064, F4, 31) (dual of [1064, 937, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(4114, 1041, F4, 30) (dual of [1041, 927, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(4113, 1033, F4, 30) (dual of [1033, 920, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(4112, 1034, F4, 30) (dual of [1034, 922, 31]-code) | [i] | ✔ | |
| 11 | Linear OOA(4106, 341, F4, 3, 29) (dual of [(341, 3), 917, 30]-NRT-code) | [i] | OOA Folding | |