Information on Result #678534
Linear OA(4177, 65537, F4, 29) (dual of [65537, 65360, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(4194, 65554, F4, 31) (dual of [65554, 65360, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4196, 65543, F4, 33) (dual of [65543, 65347, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(4197, 65554, F4, 33) (dual of [65554, 65357, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(4198, 65558, F4, 33) (dual of [65558, 65360, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(4196, 65556, F4, 32) (dual of [65556, 65360, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(4178, 65554, F4, 29) (dual of [65554, 65376, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(4219, 65579, F4, 35) (dual of [65579, 65360, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(4216, 65576, F4, 34) (dual of [65576, 65360, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4182, 65574, F4, 29) (dual of [65574, 65392, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(4180, 65558, F4, 28) (dual of [65558, 65378, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(4241, 65601, F4, 37) (dual of [65601, 65360, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(4238, 65598, F4, 36) (dual of [65598, 65360, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(4218, 65578, F4, 35) (dual of [65578, 65360, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(4178, 65571, F4, 27) (dual of [65571, 65393, 28]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |