Information on Result #707417
Linear OA(4166, 1023, F4, 45) (dual of [1023, 857, 46]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {297,298,…,341}, and designed minimum distance d ≥ |I|+1 = 46
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 OA(4233, 1090, F4, 56) (dual of [1090, 857, 57]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4183, 1062, F4, 46) (dual of [1062, 879, 47]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(4181, 1058, F4, 46) (dual of [1058, 877, 47]-code) | [i] | ✔ | |
| 4 | Linear OA(4187, 1064, F4, 47) (dual of [1064, 877, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(4174, 1041, F4, 46) (dual of [1041, 867, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(4173, 1033, F4, 46) (dual of [1033, 860, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(4172, 1034, F4, 46) (dual of [1034, 862, 47]-code) | [i] | ✔ | |
| 8 | Linear OOA(4166, 341, F4, 3, 45) (dual of [(341, 3), 857, 46]-NRT-code) | [i] | OOA Folding | |