Information on Result #691754
Linear OA(16121, 65536, F16, 33) (dual of [65536, 65415, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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(16121, 37919, F16, 2, 33) (dual of [(37919, 2), 75717, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (88, 121, 37919)-net over F16 | [i] | ||
| 3 | Linear OA(16125, 65540, F16, 34) (dual of [65540, 65415, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(16122, 65541, F16, 33) (dual of [65541, 65419, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(16123, 65546, F16, 33) (dual of [65546, 65423, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(16124, 65551, F16, 33) (dual of [65551, 65427, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(16125, 65553, F16, 33) (dual of [65553, 65428, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(16126, 65557, F16, 33) (dual of [65557, 65431, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(16124, 65554, F16, 32) (dual of [65554, 65430, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(16127, 65560, F16, 33) (dual of [65560, 65433, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(16128, 65563, F16, 33) (dual of [65563, 65435, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(16129, 65568, F16, 33) (dual of [65568, 65439, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(16127, 65561, F16, 33) (dual of [65561, 65434, 34]-code) | [i] | ✔ | |
| 14 | Linear OOA(16121, 32768, F16, 2, 33) (dual of [(32768, 2), 65415, 34]-NRT-code) | [i] | OOA Folding | |