Information on Result #702700
Linear OA(2205, 1023, F2, 42) (dual of [1023, 818, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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(2217, 1062, F2, 42) (dual of [1062, 845, 43]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2247, 1062, F2, 48) (dual of [1062, 815, 49]-code) | [i] | ✔ | |
| 3 | Linear OA(2242, 1080, F2, 47) (dual of [1080, 838, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2238, 1076, F2, 46) (dual of [1076, 838, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(2221, 1049, F2, 45) (dual of [1049, 828, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(2218, 1046, F2, 44) (dual of [1046, 828, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(2254, 1085, F2, 48) (dual of [1085, 831, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(2237, 1065, F2, 47) (dual of [1065, 828, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(2233, 1061, F2, 46) (dual of [1061, 828, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(2249, 1070, F2, 48) (dual of [1070, 821, 49]-code) | [i] | ✔ | |
| 11 | Linear OA(2231, 1049, F2, 47) (dual of [1049, 818, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(2228, 1046, F2, 46) (dual of [1046, 818, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(2247, 1065, F2, 49) (dual of [1065, 818, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(2243, 1061, F2, 48) (dual of [1061, 818, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(2259, 1070, F2, 50) (dual of [1070, 811, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(2258, 1076, F2, 50) (dual of [1076, 818, 51]-code) | [i] | ✔ | |
| 17 | Linear OOA(2205, 511, F2, 2, 42) (dual of [(511, 2), 817, 43]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2205, 341, F2, 3, 42) (dual of [(341, 3), 818, 43]-NRT-code) | [i] | ||
| 19 | Linear OOA(2205, 255, F2, 4, 42) (dual of [(255, 4), 815, 43]-NRT-code) | [i] | ||
| 20 | Linear OOA(2205, 204, F2, 5, 42) (dual of [(204, 5), 815, 43]-NRT-code) | [i] | ||
| 21 | Linear OOA(2205, 170, F2, 6, 42) (dual of [(170, 6), 815, 43]-NRT-code) | [i] | ||
| 22 | Linear OOA(2205, 146, F2, 7, 42) (dual of [(146, 7), 817, 43]-NRT-code) | [i] | ||