Information on Result #611025
Linear OA(297, 65537, F2, 13) (dual of [65537, 65440, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(296, 65536, F2, 12) (dual of [65536, 65440, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(2103, 65544, F2, 13) (dual of [65544, 65441, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2132, 65541, F2, 17) (dual of [65541, 65409, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(2133, 65545, F2, 17) (dual of [65545, 65412, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2134, 65553, F2, 17) (dual of [65553, 65419, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(2135, 65569, F2, 17) (dual of [65569, 65434, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(2136, 65576, F2, 17) (dual of [65576, 65440, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(2100, 65541, F2, 13) (dual of [65541, 65441, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(2101, 65545, F2, 13) (dual of [65545, 65444, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2102, 65553, F2, 13) (dual of [65553, 65451, 14]-code) | [i] | ✔ | |