Information on Result #702865
Linear OA(2186, 1023, F2, 39) (dual of [1023, 837, 40]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−36,−35,…,2}, and designed minimum distance d ≥ |I|+1 = 40
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2201, 1074, F2, 38) (dual of [1074, 873, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2199, 1071, F2, 38) (dual of [1071, 872, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(2198, 1068, F2, 38) (dual of [1068, 870, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(2198, 1070, F2, 38) (dual of [1070, 872, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(2198, 1067, F2, 39) (dual of [1067, 869, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2231, 1074, F2, 44) (dual of [1074, 843, 45]-code) | [i] | ✔ | |
| 7 | Linear OOA(2186, 341, F2, 3, 39) (dual of [(341, 3), 837, 40]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2186, 204, F2, 5, 39) (dual of [(204, 5), 834, 40]-NRT-code) | [i] | ||
| 9 | Linear OOA(2186, 170, F2, 6, 39) (dual of [(170, 6), 834, 40]-NRT-code) | [i] | ||
| 10 | Linear OOA(2186, 146, F2, 7, 39) (dual of [(146, 7), 836, 40]-NRT-code) | [i] | ||