Information on Result #678542
Linear OA(4129, 65537, F4, 21) (dual of [65537, 65408, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, 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 OA(4146, 65554, F4, 23) (dual of [65554, 65408, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4148, 65543, F4, 25) (dual of [65543, 65395, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(4149, 65554, F4, 25) (dual of [65554, 65405, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(4150, 65558, F4, 25) (dual of [65558, 65408, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(4148, 65556, F4, 24) (dual of [65556, 65408, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(4130, 65554, F4, 21) (dual of [65554, 65424, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(4171, 65579, F4, 27) (dual of [65579, 65408, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(4168, 65576, F4, 26) (dual of [65576, 65408, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(4134, 65574, F4, 21) (dual of [65574, 65440, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(4132, 65558, F4, 20) (dual of [65558, 65426, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(4170, 65578, F4, 27) (dual of [65578, 65408, 28]-code) | [i] | ✔ | |