Information on Result #678912
Linear OA(4113, 16385, F4, 21) (dual of [16385, 16272, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(4113, 9341, F4, 2, 21) (dual of [(9341, 2), 18569, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4113, 9341, F4, 3, 21) (dual of [(9341, 3), 27910, 22]-NRT-code) | [i] | ||
| 3 | Digital (92, 113, 9341)-net over F4 | [i] | ||
| 4 | Linear OA(4128, 16400, F4, 23) (dual of [16400, 16272, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4130, 16391, F4, 25) (dual of [16391, 16261, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(4131, 16402, F4, 25) (dual of [16402, 16271, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(4132, 16404, F4, 25) (dual of [16404, 16272, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(4130, 16402, F4, 24) (dual of [16402, 16272, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(4114, 16400, F4, 21) (dual of [16400, 16286, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(4150, 16409, F4, 27) (dual of [16409, 16259, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(4151, 16423, F4, 27) (dual of [16423, 16272, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(4147, 16406, F4, 26) (dual of [16406, 16259, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(4148, 16420, F4, 26) (dual of [16420, 16272, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(4118, 16418, F4, 21) (dual of [16418, 16300, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(4116, 16406, F4, 20) (dual of [16406, 16290, 21]-code) | [i] | ✔ | |