Information on Result #612813
Linear OA(4113, 65537, F4, 19) (dual of [65537, 65424, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, 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(4124, 65552, F4, 19) (dual of [65552, 65428, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4126, 65565, F4, 19) (dual of [65565, 65439, 20]-code) | [i] | ||
| 3 | Linear OA(4121, 65546, F4, 19) (dual of [65546, 65425, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(4130, 65554, F4, 21) (dual of [65554, 65424, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(4114, 65554, F4, 19) (dual of [65554, 65440, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(4155, 65579, F4, 25) (dual of [65579, 65424, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(4152, 65576, F4, 24) (dual of [65576, 65424, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(4150, 65574, F4, 23) (dual of [65574, 65424, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(4123, 65579, F4, 19) (dual of [65579, 65456, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(4177, 65601, F4, 27) (dual of [65601, 65424, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(4154, 65573, F4, 25) (dual of [65573, 65419, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(4154, 65578, F4, 25) (dual of [65578, 65424, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(4175, 65599, F4, 27) (dual of [65599, 65424, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4122, 65563, F4, 19) (dual of [65563, 65441, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |