Information on Result #616494
Linear OA(16125, 65536, F16, 34) (dual of [65536, 65411, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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(16125, 39497, F16, 2, 34) (dual of [(39497, 2), 78869, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (91, 125, 39497)-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 OA(16125, 65540, F16, 34) (dual of [65540, 65415, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(16127, 65546, F16, 34) (dual of [65546, 65419, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(16128, 65551, F16, 34) (dual of [65551, 65423, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(16129, 65553, F16, 34) (dual of [65553, 65424, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(16130, 65557, F16, 34) (dual of [65557, 65427, 35]-code) | [i] | ✔ | |
| 9 | Linear OOA(16125, 3855, F16, 34, 34) (dual of [(3855, 34), 130945, 35]-NRT-code) | [i] | OA Folding and Stacking | |