Information on Result #691752
Linear OA(16129, 65536, F16, 35) (dual of [65536, 65407, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(16129, 41077, F16, 2, 35) (dual of [(41077, 2), 82025, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (94, 129, 41077)-net over F16 | [i] | ||
| 3 | Linear OA(16129, 65540, F16, 35) (dual of [65540, 65411, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OOA(16129, 3855, F16, 35, 35) (dual of [(3855, 35), 134796, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |