Information on Result #610939
Linear OA(249, 4097, F2, 9) (dual of [4097, 4048, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound)
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(248, 4096, F2, 8) (dual of [4096, 4048, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(253, 4102, F2, 9) (dual of [4102, 4049, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(276, 4101, F2, 13) (dual of [4101, 4025, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(277, 4105, F2, 13) (dual of [4105, 4028, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(278, 4113, F2, 13) (dual of [4113, 4035, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(252, 4101, F2, 9) (dual of [4101, 4049, 10]-code) | [i] | ✔ | |
| 7 | Linear OOA(249, 1024, F2, 5, 9) (dual of [(1024, 5), 5071, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(249, 1024, F2, 6, 9) (dual of [(1024, 6), 6095, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(249, 1024, F2, 7, 9) (dual of [(1024, 7), 7119, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(249, 1024, F2, 8, 9) (dual of [(1024, 8), 8143, 10]-NRT-code) | [i] | ||