Information on Result #702689
Linear OA(2150, 1023, F2, 30) (dual of [1023, 873, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2162, 1062, F2, 30) (dual of [1062, 900, 31]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2187, 1060, F2, 36) (dual of [1060, 873, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(2183, 1076, F2, 34) (dual of [1076, 893, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2166, 1049, F2, 33) (dual of [1049, 883, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(2163, 1046, F2, 32) (dual of [1046, 883, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(2198, 1071, F2, 38) (dual of [1071, 873, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(2214, 1080, F2, 40) (dual of [1080, 866, 41]-code) | [i] | ✔ | |
| 8 | Linear OOA(2150, 511, F2, 2, 30) (dual of [(511, 2), 872, 31]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2150, 341, F2, 3, 30) (dual of [(341, 3), 873, 31]-NRT-code) | [i] | ||
| 10 | Linear OOA(2150, 255, F2, 4, 30) (dual of [(255, 4), 870, 31]-NRT-code) | [i] | ||
| 11 | Linear OOA(2150, 204, F2, 5, 30) (dual of [(204, 5), 870, 31]-NRT-code) | [i] | ||
| 12 | Linear OOA(2150, 170, F2, 6, 30) (dual of [(170, 6), 870, 31]-NRT-code) | [i] | ||
| 13 | Linear OOA(2150, 146, F2, 7, 30) (dual of [(146, 7), 872, 31]-NRT-code) | [i] | ||