Information on Result #2226513
Linear OA(2180, 262144, F2, 20) (dual of [262144, 261964, 21]-code), using 1 times truncation based on linear OA(2181, 262145, F2, 21) (dual of [262145, 261964, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, 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(2180, 131072, F2, 2, 20) (dual of [(131072, 2), 261964, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2180, 87381, F2, 3, 20) (dual of [(87381, 3), 261963, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(2180, 65536, F2, 4, 20) (dual of [(65536, 4), 261964, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(2180, 52428, F2, 5, 20) (dual of [(52428, 5), 261960, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(2180, 43690, F2, 6, 20) (dual of [(43690, 6), 261960, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(2180, 37449, F2, 7, 20) (dual of [(37449, 7), 261963, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(2180, 32768, F2, 8, 20) (dual of [(32768, 8), 261964, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(2180, 26214, F2, 20, 20) (dual of [(26214, 20), 524100, 21]-NRT-code) | [i] | OA Folding and Stacking | |