Information on Result #2255013
Linear OA(1660, 65535, F16, 16) (dual of [65535, 65475, 17]-code), using 1 times truncation based on linear OA(1661, 65536, F16, 17) (dual of [65536, 65475, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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 | OA(880, 65535, S8, 16) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(1660, 47842, F16, 2, 16) (dual of [(47842, 2), 95624, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (44, 60, 47842)-net over F16 | [i] | ||
| 4 | Linear OOA(1660, 32767, F16, 2, 16) (dual of [(32767, 2), 65474, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(1660, 8191, F16, 16, 16) (dual of [(8191, 16), 130996, 17]-NRT-code) | [i] | OA Folding and Stacking | |