Information on Result #707370
Linear OA(4121, 1023, F4, 33) (dual of [1023, 902, 34]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,341}, and designed minimum distance d ≥ |I|+1 = 34
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(4121, 863, F4, 2, 33) (dual of [(863, 2), 1605, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4121, 863, F4, 3, 33) (dual of [(863, 3), 2468, 34]-NRT-code) | [i] | ||
| 3 | Digital (88, 121, 863)-net over F4 | [i] | ||
| 4 | Linear OA(4188, 1090, F4, 44) (dual of [1090, 902, 45]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4138, 1062, F4, 34) (dual of [1062, 924, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(4136, 1058, F4, 34) (dual of [1058, 922, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(4142, 1064, F4, 35) (dual of [1064, 922, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(4129, 1041, F4, 34) (dual of [1041, 912, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4128, 1033, F4, 34) (dual of [1033, 905, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(4127, 1034, F4, 34) (dual of [1034, 907, 35]-code) | [i] | ✔ | |
| 11 | Linear OOA(4121, 341, F4, 3, 33) (dual of [(341, 3), 902, 34]-NRT-code) | [i] | OOA Folding | |