Information on Result #612810
Linear OA(499, 16385, F4, 19) (dual of [16385, 16286, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4110, 16400, F4, 19) (dual of [16400, 16290, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4112, 16413, F4, 19) (dual of [16413, 16301, 20]-code) | [i] | ||
| 3 | Linear OA(4107, 16394, F4, 19) (dual of [16394, 16287, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(4114, 16400, F4, 21) (dual of [16400, 16286, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(4100, 16400, F4, 19) (dual of [16400, 16300, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(4136, 16409, F4, 25) (dual of [16409, 16273, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(4137, 16423, F4, 25) (dual of [16423, 16286, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(4133, 16406, F4, 24) (dual of [16406, 16273, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(4134, 16420, F4, 24) (dual of [16420, 16286, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(4132, 16418, F4, 23) (dual of [16418, 16286, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(4108, 16409, F4, 19) (dual of [16409, 16301, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(4109, 16423, F4, 19) (dual of [16423, 16314, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(4157, 16443, F4, 27) (dual of [16443, 16286, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4136, 16421, F4, 25) (dual of [16421, 16285, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(4136, 16422, F4, 25) (dual of [16422, 16286, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(4155, 16441, F4, 27) (dual of [16441, 16286, 28]-code) | [i] | ✔ | |