Information on Result #613152
Linear OA(4211, 16385, F4, 41) (dual of [16385, 16174, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(4210, 16384, F4, 40) (dual of [16384, 16174, 41]-code) | [i] | Truncation | |
| 2 | Linear OA(4236, 16412, F4, 41) (dual of [16412, 16176, 42]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4237, 16414, F4, 41) (dual of [16414, 16177, 42]-code) | [i] | ||
| 4 | Linear OA(4238, 16416, F4, 41) (dual of [16416, 16178, 42]-code) | [i] | ||
| 5 | Linear OA(4231, 16406, F4, 41) (dual of [16406, 16175, 42]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(4226, 16400, F4, 43) (dual of [16400, 16174, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(4212, 16400, F4, 39) (dual of [16400, 16188, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(4214, 16391, F4, 41) (dual of [16391, 16177, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(4215, 16402, F4, 41) (dual of [16402, 16187, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(4216, 16404, F4, 41) (dual of [16404, 16188, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(4214, 16402, F4, 40) (dual of [16402, 16188, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(4244, 16418, F4, 45) (dual of [16418, 16174, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(4242, 16406, F4, 44) (dual of [16406, 16164, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(4220, 16409, F4, 41) (dual of [16409, 16189, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(4221, 16423, F4, 41) (dual of [16423, 16202, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(4217, 16406, F4, 40) (dual of [16406, 16189, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(4218, 16420, F4, 40) (dual of [16420, 16202, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(4216, 16418, F4, 39) (dual of [16418, 16202, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(4214, 16406, F4, 38) (dual of [16406, 16192, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(4260, 16428, F4, 46) (dual of [16428, 16168, 47]-code) | [i] | ✔ | |
| 21 | Linear OA(4227, 16443, F4, 41) (dual of [16443, 16216, 42]-code) | [i] | ✔ | |
| 22 | Linear OA(4224, 16440, F4, 40) (dual of [16440, 16216, 41]-code) | [i] | ✔ | |
| 23 | Linear OA(4221, 16437, F4, 39) (dual of [16437, 16216, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(4218, 16428, F4, 38) (dual of [16428, 16210, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(4219, 16435, F4, 38) (dual of [16435, 16216, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(4239, 16461, F4, 41) (dual of [16461, 16222, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(4240, 16470, F4, 41) (dual of [16470, 16230, 42]-code) | [i] | ✔ | |
| 28 | Linear OA(4237, 16467, F4, 40) (dual of [16467, 16230, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(4230, 16450, F4, 39) (dual of [16450, 16220, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(4220, 16421, F4, 41) (dual of [16421, 16201, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(4239, 16469, F4, 41) (dual of [16469, 16230, 42]-code) | [i] | ✔ | |
| 32 | Linear OA(4220, 16422, F4, 41) (dual of [16422, 16202, 42]-code) | [i] | ✔ | |
| 33 | Linear OA(4225, 16441, F4, 41) (dual of [16441, 16216, 42]-code) | [i] | ✔ | |