Information on Result #708258
Linear OA(4116, 1023, F4, 31) (dual of [1023, 907, 32]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {315,316,…,345}, and designed minimum distance d ≥ |I|+1 = 32
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4116, 928, F4, 2, 31) (dual of [(928, 2), 1740, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4116, 928, F4, 3, 31) (dual of [(928, 3), 2668, 32]-NRT-code) | [i] | ||
| 3 | Digital (85, 116, 928)-net over F4 | [i] | ||
| 4 | Linear OA(4120, 1047, F4, 31) (dual of [1047, 927, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4119, 1039, F4, 31) (dual of [1039, 920, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(4125, 1042, F4, 33) (dual of [1042, 917, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(4123, 1035, F4, 33) (dual of [1035, 912, 34]-code) | [i] | ✔ | |