Information on Result #703017
Linear OA(2236, 1023, F2, 49) (dual of [1023, 787, 50]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−38,−37,…,10}, and designed minimum distance d ≥ |I|+1 = 50
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 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(2259, 1095, F2, 48) (dual of [1095, 836, 49]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(2253, 1082, F2, 49) (dual of [1082, 829, 50]-code) | [i] | ✔ | |
3 | Linear OA(2248, 1067, F2, 49) (dual of [1067, 819, 50]-code) | [i] | ✔ | |
4 | Linear OA(2258, 1067, F2, 51) (dual of [1067, 809, 52]-code) | [i] | ✔ | |
5 | Linear OOA(2236, 341, F2, 3, 49) (dual of [(341, 3), 787, 50]-NRT-code) | [i] | OOA Folding | |
6 | Linear OOA(2236, 204, F2, 5, 49) (dual of [(204, 5), 784, 50]-NRT-code) | [i] | ||
7 | Linear OOA(2236, 170, F2, 6, 49) (dual of [(170, 6), 784, 50]-NRT-code) | [i] | ||
8 | Linear OOA(2236, 146, F2, 7, 49) (dual of [(146, 7), 786, 50]-NRT-code) | [i] |