Information on Result #612679
Linear OA(465, 65537, F4, 11) (dual of [65537, 65472, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(471, 65549, F4, 11) (dual of [65549, 65478, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(472, 65553, F4, 11) (dual of [65553, 65481, 12]-code) | [i] | ||
| 3 | Linear OA(469, 65542, F4, 11) (dual of [65542, 65473, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(466, 65554, F4, 11) (dual of [65554, 65488, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(4107, 65579, F4, 17) (dual of [65579, 65472, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(4104, 65576, F4, 16) (dual of [65576, 65472, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(4106, 65573, F4, 17) (dual of [65573, 65467, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(4106, 65578, F4, 17) (dual of [65578, 65472, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(466, 65555, F4, 11) (dual of [65555, 65489, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |