Information on Result #702999
Linear OA(2216, 1023, F2, 45) (dual of [1023, 807, 46]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−2,−1,…,42}, 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 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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2221, 1049, F2, 45) (dual of [1049, 828, 46]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2218, 1046, F2, 44) (dual of [1046, 828, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(2218, 1045, F2, 45) (dual of [1045, 827, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(2231, 1049, F2, 47) (dual of [1049, 818, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(2228, 1046, F2, 46) (dual of [1046, 818, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(2228, 1045, F2, 47) (dual of [1045, 817, 48]-code) | [i] | ✔ | |
| 7 | Linear OOA(2216, 341, F2, 3, 45) (dual of [(341, 3), 807, 46]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2216, 204, F2, 5, 45) (dual of [(204, 5), 804, 46]-NRT-code) | [i] | ||
| 9 | Linear OOA(2216, 170, F2, 6, 45) (dual of [(170, 6), 804, 46]-NRT-code) | [i] | ||
| 10 | Linear OOA(2216, 146, F2, 7, 45) (dual of [(146, 7), 806, 46]-NRT-code) | [i] | ||