Information on Result #2226976
Linear OA(2220, 4194304, F2, 20) (dual of [4194304, 4194084, 21]-code), using 1 times truncation based on 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) [i]
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 OOA(2220, 2097152, F2, 2, 20) (dual of [(2097152, 2), 4194084, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2220, 1398101, F2, 3, 20) (dual of [(1398101, 3), 4194083, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(2220, 1048576, F2, 4, 20) (dual of [(1048576, 4), 4194084, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(2220, 838860, F2, 5, 20) (dual of [(838860, 5), 4194080, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(2220, 699050, F2, 6, 20) (dual of [(699050, 6), 4194080, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(2220, 599186, F2, 7, 20) (dual of [(599186, 7), 4194082, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(2220, 524288, F2, 8, 20) (dual of [(524288, 8), 4194084, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(2220, 419430, F2, 20, 20) (dual of [(419430, 20), 8388380, 21]-NRT-code) | [i] | OA Folding and Stacking | |