Information on Result #611344
Linear OA(2257, 65537, F2, 33) (dual of [65537, 65280, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, 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(2256, 65536, F2, 32) (dual of [65536, 65280, 33]-code) | [i] | Truncation | |
| 2 | Linear OA(2260, 65541, F2, 33) (dual of [65541, 65281, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2260, 65544, F2, 32) (dual of [65544, 65284, 33]-code) | [i] | ✔ | |
| 4 | Linear OOA(2257, 4096, F2, 33, 33) (dual of [(4096, 33), 134911, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |