Information on Result #678526
Linear OA(4225, 65537, F4, 37) (dual of [65537, 65312, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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 OOA(4225, 33034, F4, 2, 37) (dual of [(33034, 2), 65843, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4225, 33034, F4, 3, 37) (dual of [(33034, 3), 98877, 38]-NRT-code) | [i] | ||
| 3 | Digital (188, 225, 33034)-net over F4 | [i] | ||
| 4 | Linear OA(4242, 65554, F4, 39) (dual of [65554, 65312, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4244, 65543, F4, 41) (dual of [65543, 65299, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(4245, 65554, F4, 41) (dual of [65554, 65309, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(4246, 65558, F4, 41) (dual of [65558, 65312, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(4244, 65556, F4, 40) (dual of [65556, 65312, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(4226, 65554, F4, 37) (dual of [65554, 65328, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(4230, 65574, F4, 37) (dual of [65574, 65344, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(4228, 65558, F4, 36) (dual of [65558, 65330, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(4241, 65601, F4, 37) (dual of [65601, 65360, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4238, 65598, F4, 36) (dual of [65598, 65360, 37]-code) | [i] | ✔ | |