Information on Result #702843
Linear OA(2176, 1023, F2, 37) (dual of [1023, 847, 38]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−34,−33,…,2}, and designed minimum distance d ≥ |I|+1 = 38
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2191, 1074, F2, 36) (dual of [1074, 883, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2189, 1071, F2, 36) (dual of [1071, 882, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(2188, 1068, F2, 36) (dual of [1068, 880, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(2188, 1070, F2, 36) (dual of [1070, 882, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(2188, 1067, F2, 37) (dual of [1067, 879, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2186, 1059, F2, 37) (dual of [1059, 873, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2183, 1056, F2, 36) (dual of [1056, 873, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(2182, 1051, F2, 36) (dual of [1051, 869, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(2183, 1055, F2, 37) (dual of [1055, 872, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(2182, 1050, F2, 37) (dual of [1050, 868, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(2221, 1074, F2, 42) (dual of [1074, 853, 43]-code) | [i] | ✔ | |
| 12 | Linear OOA(2176, 341, F2, 3, 37) (dual of [(341, 3), 847, 38]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(2176, 204, F2, 5, 37) (dual of [(204, 5), 844, 38]-NRT-code) | [i] | ||
| 14 | Linear OOA(2176, 170, F2, 6, 37) (dual of [(170, 6), 844, 38]-NRT-code) | [i] | ||
| 15 | Linear OOA(2176, 146, F2, 7, 37) (dual of [(146, 7), 846, 38]-NRT-code) | [i] | ||