Information on Result #678896
Linear OA(4197, 16385, F4, 37) (dual of [16385, 16188, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, 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(4197, 10878, F4, 2, 37) (dual of [(10878, 2), 21559, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4197, 10878, F4, 3, 37) (dual of [(10878, 3), 32437, 38]-NRT-code) | [i] | ||
| 3 | Digital (160, 197, 10878)-net over F4 | [i] | ||
| 4 | Linear OA(4212, 16400, F4, 39) (dual of [16400, 16188, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4214, 16391, F4, 41) (dual of [16391, 16177, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(4215, 16402, F4, 41) (dual of [16402, 16187, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(4216, 16404, F4, 41) (dual of [16404, 16188, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(4214, 16402, F4, 40) (dual of [16402, 16188, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(4198, 16400, F4, 37) (dual of [16400, 16202, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(4234, 16409, F4, 43) (dual of [16409, 16175, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(4235, 16423, F4, 43) (dual of [16423, 16188, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(4231, 16406, F4, 42) (dual of [16406, 16175, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(4232, 16420, F4, 42) (dual of [16420, 16188, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(4202, 16418, F4, 37) (dual of [16418, 16216, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(4200, 16406, F4, 36) (dual of [16406, 16206, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(4255, 16443, F4, 45) (dual of [16443, 16188, 46]-code) | [i] | ✔ | |
| 17 | Linear OA(4252, 16440, F4, 44) (dual of [16440, 16188, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(4213, 16443, F4, 37) (dual of [16443, 16230, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(4210, 16440, F4, 36) (dual of [16440, 16230, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(4216, 16450, F4, 37) (dual of [16450, 16234, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(4234, 16422, F4, 43) (dual of [16422, 16188, 44]-code) | [i] | ✔ | |