Information on Result #702879
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 = {−4,−3,…,34}, 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(2198, 1071, F2, 38) (dual of [1071, 873, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2197, 1060, F2, 39) (dual of [1060, 863, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(2193, 1056, F2, 38) (dual of [1056, 863, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(2198, 1070, F2, 39) (dual of [1070, 872, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(2193, 1055, F2, 39) (dual of [1055, 862, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2207, 1065, F2, 41) (dual of [1065, 858, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(2203, 1061, F2, 40) (dual of [1061, 858, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(2203, 1060, F2, 41) (dual of [1060, 857, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(2222, 1080, F2, 43) (dual of [1080, 858, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(2218, 1076, F2, 42) (dual of [1076, 858, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(2218, 1075, F2, 43) (dual of [1075, 857, 44]-code) | [i] | ✔ | |
| 12 | Linear OOA(2186, 341, F2, 3, 39) (dual of [(341, 3), 837, 40]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(2186, 204, F2, 5, 39) (dual of [(204, 5), 834, 40]-NRT-code) | [i] | ||
| 14 | Linear OOA(2186, 170, F2, 6, 39) (dual of [(170, 6), 834, 40]-NRT-code) | [i] | ||
| 15 | Linear OOA(2186, 146, F2, 7, 39) (dual of [(146, 7), 836, 40]-NRT-code) | [i] | ||