Information on Result #1053882
Linear OOA(2209, 2048, F2, 4, 33) (dual of [(2048, 4), 7983, 34]-NRT-code), using OOA 4-folding based on linear OA(2209, 8192, F2, 33) (dual of [8192, 7983, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(2209, 1766, F2, 5, 33) (dual of [(1766, 5), 8621, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2209, 1766, F2, 6, 33) (dual of [(1766, 6), 10387, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(2209, 1766, F2, 7, 33) (dual of [(1766, 7), 12153, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(2209, 1766, F2, 8, 33) (dual of [(1766, 8), 13919, 34]-NRT-code) | [i] | ||
| 5 | Digital (176, 209, 1766)-net over F2 | [i] | ||