Information on Result #616488
Linear OA(16121, 65537, F16, 33) (dual of [65537, 65416, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 168−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(16120, 65536, F16, 32) (dual of [65536, 65416, 33]-code) | [i] | Truncation | |
| 2 | OA(8162, 65537, S8, 33) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(16130, 65546, F16, 35) (dual of [65546, 65416, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(16124, 65548, F16, 33) (dual of [65548, 65424, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(16126, 65554, F16, 33) (dual of [65554, 65428, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(16127, 65559, F16, 33) (dual of [65559, 65432, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(16125, 65554, F16, 32) (dual of [65554, 65429, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(16129, 65562, F16, 33) (dual of [65562, 65433, 34]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 9 | Linear OOA(16121, 4096, F16, 33, 33) (dual of [(4096, 33), 135047, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |