Information on Result #947474
Linear OOA(2193, 1365, F2, 3, 33) (dual of [(1365, 3), 3902, 34]-NRT-code), using OOA 3-folding based on linear OA(2193, 4095, F2, 33) (dual of [4095, 3902, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(2193, 4096, F2, 33) (dual of [4096, 3903, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, 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(2193, 1053, F2, 4, 33) (dual of [(1053, 4), 4019, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2193, 1053, F2, 5, 33) (dual of [(1053, 5), 5072, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(2193, 1053, F2, 6, 33) (dual of [(1053, 6), 6125, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(2193, 1053, F2, 7, 33) (dual of [(1053, 7), 7178, 34]-NRT-code) | [i] | ||
| 5 | Linear OOA(2193, 1053, F2, 8, 33) (dual of [(1053, 8), 8231, 34]-NRT-code) | [i] | ||
| 6 | Digital (160, 193, 1053)-net over F2 | [i] | ||