Information on Result #2224502
Linear OA(2130, 8192, F2, 20) (dual of [8192, 8062, 21]-code), using 1 times truncation based on linear OA(2131, 8193, F2, 21) (dual of [8193, 8062, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, 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(2130, 4096, F2, 2, 20) (dual of [(4096, 2), 8062, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2130, 2730, F2, 3, 20) (dual of [(2730, 3), 8060, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(2130, 2048, F2, 4, 20) (dual of [(2048, 4), 8062, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(2130, 1638, F2, 5, 20) (dual of [(1638, 5), 8060, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(2130, 1365, F2, 6, 20) (dual of [(1365, 6), 8060, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(2130, 1170, F2, 7, 20) (dual of [(1170, 7), 8060, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(2130, 1024, F2, 8, 20) (dual of [(1024, 8), 8062, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(2130, 819, F2, 20, 20) (dual of [(819, 20), 16250, 21]-NRT-code) | [i] | OA Folding and Stacking | |