Information on Result #610979
Linear OA(251, 1024, F2, 11) (dual of [1024, 973, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(262, 1035, F2, 13) (dual of [1035, 973, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(252, 1035, F2, 11) (dual of [1035, 983, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(276, 1040, F2, 15) (dual of [1040, 964, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(277, 1050, F2, 15) (dual of [1050, 973, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(276, 1042, F2, 15) (dual of [1042, 966, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(266, 1042, F2, 13) (dual of [1042, 976, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(252, 1036, F2, 11) (dual of [1036, 984, 12]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 8 | Linear OOA(251, 512, F2, 2, 11) (dual of [(512, 2), 973, 12]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(251, 256, F2, 4, 11) (dual of [(256, 4), 973, 12]-NRT-code) | [i] | ||