Information on Result #1051309
Linear OOA(291, 65536, F2, 4, 11) (dual of [(65536, 4), 262053, 12]-NRT-code), using OOA 4-folding based on linear OA(291, 262144, F2, 11) (dual of [262144, 262053, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, 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(291, 65536, F2, 5, 11) (dual of [(65536, 5), 327589, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(291, 65536, F2, 6, 11) (dual of [(65536, 6), 393125, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(291, 65536, F2, 7, 11) (dual of [(65536, 7), 458661, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(291, 65536, F2, 8, 11) (dual of [(65536, 8), 524197, 12]-NRT-code) | [i] | ||
| 5 | Digital (80, 91, 65536)-net over F2 | [i] | ||