Information on Result #613085
Linear OA(4209, 65537, F4, 35) (dual of [65537, 65328, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(4230, 65560, F4, 35) (dual of [65560, 65330, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4231, 65562, F4, 35) (dual of [65562, 65331, 36]-code) | [i] | ||
| 3 | Linear OA(4232, 65564, F4, 35) (dual of [65564, 65332, 36]-code) | [i] | ||
| 4 | Linear OA(4234, 65567, F4, 35) (dual of [65567, 65333, 36]-code) | [i] | ||
| 5 | Linear OA(4225, 65554, F4, 35) (dual of [65554, 65329, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(4226, 65554, F4, 37) (dual of [65554, 65328, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(4210, 65554, F4, 35) (dual of [65554, 65344, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(4251, 65579, F4, 41) (dual of [65579, 65328, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(4248, 65576, F4, 40) (dual of [65576, 65328, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(4246, 65574, F4, 39) (dual of [65574, 65328, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(4244, 65558, F4, 38) (dual of [65558, 65314, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(4219, 65579, F4, 35) (dual of [65579, 65360, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(4216, 65576, F4, 34) (dual of [65576, 65360, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(4225, 65601, F4, 35) (dual of [65601, 65376, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(4222, 65598, F4, 34) (dual of [65598, 65376, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(4231, 65622, F4, 35) (dual of [65622, 65391, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(4234, 65626, F4, 35) (dual of [65626, 65392, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(4250, 65573, F4, 41) (dual of [65573, 65323, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(4232, 65624, F4, 35) (dual of [65624, 65392, 36]-code) | [i] | ✔ | |
| 20 | Linear OA(4250, 65578, F4, 41) (dual of [65578, 65328, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(4218, 65578, F4, 35) (dual of [65578, 65360, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(4223, 65599, F4, 35) (dual of [65599, 65376, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(4230, 65622, F4, 35) (dual of [65622, 65392, 36]-code) | [i] | ✔ | |