Information on Result #612948
Linear OA(4141, 16385, F4, 27) (dual of [16385, 16244, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(4157, 16404, F4, 27) (dual of [16404, 16247, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4158, 16406, F4, 27) (dual of [16406, 16248, 28]-code) | [i] | ||
| 3 | Linear OA(4160, 16410, F4, 27) (dual of [16410, 16250, 28]-code) | [i] | ||
| 4 | Linear OA(4153, 16398, F4, 27) (dual of [16398, 16245, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4156, 16400, F4, 29) (dual of [16400, 16244, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(4142, 16400, F4, 27) (dual of [16400, 16258, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4178, 16409, F4, 33) (dual of [16409, 16231, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(4179, 16423, F4, 33) (dual of [16423, 16244, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(4175, 16406, F4, 32) (dual of [16406, 16231, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(4176, 16420, F4, 32) (dual of [16420, 16244, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(4174, 16418, F4, 31) (dual of [16418, 16244, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(4172, 16406, F4, 30) (dual of [16406, 16234, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(4150, 16409, F4, 27) (dual of [16409, 16259, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4151, 16423, F4, 27) (dual of [16423, 16272, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4147, 16406, F4, 26) (dual of [16406, 16259, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(4148, 16420, F4, 26) (dual of [16420, 16272, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4199, 16443, F4, 35) (dual of [16443, 16244, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(4196, 16440, F4, 34) (dual of [16440, 16244, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(4157, 16443, F4, 27) (dual of [16443, 16286, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(4216, 16450, F4, 37) (dual of [16450, 16234, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(4160, 16450, F4, 27) (dual of [16450, 16290, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(4178, 16421, F4, 33) (dual of [16421, 16243, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(4178, 16422, F4, 33) (dual of [16422, 16244, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(4197, 16441, F4, 35) (dual of [16441, 16244, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(4155, 16441, F4, 27) (dual of [16441, 16286, 28]-code) | [i] | ✔ | |