Information on Result #1051298
Linear OOA(271, 4096, F2, 4, 11) (dual of [(4096, 4), 16313, 12]-NRT-code), using OOA 4-folding based on linear OA(271, 16384, F2, 11) (dual of [16384, 16313, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(271, 4096, F2, 5, 11) (dual of [(4096, 5), 20409, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(271, 4096, F2, 6, 11) (dual of [(4096, 6), 24505, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(271, 4096, F2, 7, 11) (dual of [(4096, 7), 28601, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(271, 4096, F2, 8, 11) (dual of [(4096, 8), 32697, 12]-NRT-code) | [i] | ||
| 5 | Digital (60, 71, 4096)-net over F2 | [i] | ||