Information on Result #703031
Linear OA(2246, 1023, F2, 51) (dual of [1023, 777, 52]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−6,−5,…,44}, and designed minimum distance d ≥ |I|+1 = 52
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2259, 1070, F2, 50) (dual of [1070, 811, 51]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2258, 1070, F2, 50) (dual of [1070, 812, 51]-code) | [i] | ✔ | |
| 3 | Linear OOA(2246, 341, F2, 3, 51) (dual of [(341, 3), 777, 52]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2246, 204, F2, 5, 51) (dual of [(204, 5), 774, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(2246, 170, F2, 6, 51) (dual of [(170, 6), 774, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(2246, 146, F2, 7, 51) (dual of [(146, 7), 776, 52]-NRT-code) | [i] | ||