Information on Result #1151544
Linear OOA(2181, 37449, F2, 7, 21) (dual of [(37449, 7), 261962, 22]-NRT-code), using OOA 7-folding based on linear OA(2181, 262143, F2, 21) (dual of [262143, 261962, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2181, 262144, F2, 21) (dual of [262144, 261963, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(2181, 37449, F2, 8, 21) (dual of [(37449, 8), 299411, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (160, 181, 37449)-net over F2 | [i] | ||