Information on Result #702696
Linear OA(2175, 1023, F2, 36) (dual of [1023, 848, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(2187, 1060, F2, 36) (dual of [1060, 873, 37]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2217, 1062, F2, 42) (dual of [1062, 845, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(2251, 1094, F2, 46) (dual of [1094, 843, 47]-code) | [i] | ✔ | |
| 4 | Linear OA(2252, 1100, F2, 46) (dual of [1100, 848, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(2208, 1071, F2, 40) (dual of [1071, 863, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(2191, 1049, F2, 39) (dual of [1049, 858, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(2188, 1046, F2, 38) (dual of [1046, 858, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(2207, 1065, F2, 41) (dual of [1065, 858, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(2203, 1061, F2, 40) (dual of [1061, 858, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(2219, 1070, F2, 42) (dual of [1070, 851, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(2201, 1049, F2, 41) (dual of [1049, 848, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(2198, 1046, F2, 40) (dual of [1046, 848, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(2217, 1065, F2, 43) (dual of [1065, 848, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(2213, 1061, F2, 42) (dual of [1061, 848, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(2229, 1070, F2, 44) (dual of [1070, 841, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(2232, 1080, F2, 45) (dual of [1080, 848, 46]-code) | [i] | ✔ | |
| 17 | Linear OA(2228, 1076, F2, 44) (dual of [1076, 848, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(2244, 1085, F2, 46) (dual of [1085, 841, 47]-code) | [i] | ✔ | |
| 19 | Linear OOA(2175, 511, F2, 2, 36) (dual of [(511, 2), 847, 37]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(2175, 341, F2, 3, 36) (dual of [(341, 3), 848, 37]-NRT-code) | [i] | ||
| 21 | Linear OOA(2175, 255, F2, 4, 36) (dual of [(255, 4), 845, 37]-NRT-code) | [i] | ||
| 22 | Linear OOA(2175, 204, F2, 5, 36) (dual of [(204, 5), 845, 37]-NRT-code) | [i] | ||
| 23 | Linear OOA(2175, 170, F2, 6, 36) (dual of [(170, 6), 845, 37]-NRT-code) | [i] | ||
| 24 | Linear OOA(2175, 146, F2, 7, 36) (dual of [(146, 7), 847, 37]-NRT-code) | [i] | ||