Information on Result #612634
Linear OA(437, 4097, F4, 9) (dual of [4097, 4060, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(436, 4096, F4, 8) (dual of [4096, 4060, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(441, 4102, F4, 9) (dual of [4102, 4061, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(450, 4110, F4, 11) (dual of [4110, 4060, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(440, 4103, F4, 9) (dual of [4103, 4063, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(441, 4113, F4, 9) (dual of [4113, 4072, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(450, 4111, F4, 11) (dual of [4111, 4061, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |