Information on Result #691746
Linear OA(16105, 65537, F16, 27) (dual of [65537, 65432, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 168−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound)
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 OA(16126, 65554, F16, 33) (dual of [65554, 65428, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(16127, 65559, F16, 33) (dual of [65559, 65432, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(16125, 65554, F16, 32) (dual of [65554, 65429, 33]-code) | [i] | ✔ | |
| 4 | Linear OA(16129, 65562, F16, 33) (dual of [65562, 65433, 34]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |