Information on Result #702694
Linear OA(2165, 1023, F2, 34) (dual of [1023, 858, 35]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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(2177, 1060, F2, 34) (dual of [1060, 883, 35]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2207, 1062, F2, 40) (dual of [1062, 855, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(2241, 1094, F2, 44) (dual of [1094, 853, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(2198, 1071, F2, 38) (dual of [1071, 873, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(2181, 1044, F2, 37) (dual of [1044, 863, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2178, 1041, F2, 36) (dual of [1041, 863, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(2214, 1080, F2, 40) (dual of [1080, 866, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(2197, 1060, F2, 39) (dual of [1060, 863, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(2193, 1056, F2, 38) (dual of [1056, 863, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(2191, 1049, F2, 39) (dual of [1049, 858, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(2188, 1046, F2, 38) (dual of [1046, 858, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(2207, 1065, F2, 41) (dual of [1065, 858, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(2203, 1061, F2, 40) (dual of [1061, 858, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(2219, 1070, F2, 42) (dual of [1070, 851, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(2222, 1080, F2, 43) (dual of [1080, 858, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(2218, 1076, F2, 42) (dual of [1076, 858, 43]-code) | [i] | ✔ | |
| 17 | Linear OA(2234, 1085, F2, 44) (dual of [1085, 851, 45]-code) | [i] | ✔ | |
| 18 | Linear OOA(2165, 511, F2, 2, 34) (dual of [(511, 2), 857, 35]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(2165, 341, F2, 3, 34) (dual of [(341, 3), 858, 35]-NRT-code) | [i] | ||
| 20 | Linear OOA(2165, 255, F2, 4, 34) (dual of [(255, 4), 855, 35]-NRT-code) | [i] | ||
| 21 | Linear OOA(2165, 204, F2, 5, 34) (dual of [(204, 5), 855, 35]-NRT-code) | [i] | ||
| 22 | Linear OOA(2165, 170, F2, 6, 34) (dual of [(170, 6), 855, 35]-NRT-code) | [i] | ||
| 23 | Linear OOA(2165, 146, F2, 7, 34) (dual of [(146, 7), 857, 35]-NRT-code) | [i] | ||