Information on Result #611296
Linear OA(2225, 65537, F2, 29) (dual of [65537, 65312, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2224, 65536, F2, 28) (dual of [65536, 65312, 29]-code) | [i] | Truncation | |
| 2 | Linear OA(2239, 65552, F2, 29) (dual of [65552, 65313, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2260, 65541, F2, 33) (dual of [65541, 65281, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(2260, 65544, F2, 32) (dual of [65544, 65284, 33]-code) | [i] | ✔ | |
| 5 | Linear OA(2228, 65541, F2, 29) (dual of [65541, 65313, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(2229, 65545, F2, 29) (dual of [65545, 65316, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(2230, 65553, F2, 29) (dual of [65553, 65323, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(2231, 65569, F2, 29) (dual of [65569, 65338, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(2232, 65576, F2, 29) (dual of [65576, 65344, 30]-code) | [i] | ✔ | |