Information on Result #612628
Linear OA(425, 257, F4, 9) (dual of [257, 232, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, 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(424, 256, F4, 8) (dual of [256, 232, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(428, 261, F4, 9) (dual of [261, 233, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(434, 266, F4, 11) (dual of [266, 232, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(428, 263, F4, 9) (dual of [263, 235, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(429, 269, F4, 9) (dual of [269, 240, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(444, 269, F4, 13) (dual of [269, 225, 14]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 7 | Linear OA(439, 273, F4, 11) (dual of [273, 234, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(438, 271, F4, 11) (dual of [271, 233, 12]-code) | [i] | ✔ | |