Information on Result #702987
Linear OA(2226, 1023, F2, 47) (dual of [1023, 797, 48]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−38,−37,…,8}, and designed minimum distance d ≥ |I|+1 = 48
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(2249, 1095, F2, 46) (dual of [1095, 846, 47]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2243, 1082, F2, 47) (dual of [1082, 839, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(2238, 1067, F2, 47) (dual of [1067, 829, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(2248, 1067, F2, 49) (dual of [1067, 819, 50]-code) | [i] | ✔ | |
| 5 | Linear OOA(2226, 341, F2, 3, 47) (dual of [(341, 3), 797, 48]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2226, 204, F2, 5, 47) (dual of [(204, 5), 794, 48]-NRT-code) | [i] | ||
| 7 | Linear OOA(2226, 170, F2, 6, 47) (dual of [(170, 6), 794, 48]-NRT-code) | [i] | ||
| 8 | Linear OOA(2226, 146, F2, 7, 47) (dual of [(146, 7), 796, 48]-NRT-code) | [i] | ||