Information on Result #611183
Linear OA(2221, 4194305, F2, 21) (dual of [4194305, 4194084, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2220, 4194304, F2, 20) (dual of [4194304, 4194084, 21]-code) | [i] | Truncation | |
| 2 | Linear OA(2231, 4194316, F2, 21) (dual of [4194316, 4194085, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2224, 4194309, F2, 21) (dual of [4194309, 4194085, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2225, 4194313, F2, 21) (dual of [4194313, 4194088, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2226, 4194321, F2, 21) (dual of [4194321, 4194095, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2227, 4194337, F2, 21) (dual of [4194337, 4194110, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2228, 4194356, F2, 21) (dual of [4194356, 4194128, 22]-code) | [i] | ✔ | |
| 8 | Linear OOA(2221, 838861, F2, 5, 21) (dual of [(838861, 5), 4194084, 22]-NRT-code) | [i] | OOA Folding | |