Information on Result #681273
Linear OA(441, 257, F4, 13) (dual of [257, 216, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(450, 266, F4, 15) (dual of [266, 216, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(452, 263, F4, 17) (dual of [263, 211, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(453, 269, F4, 17) (dual of [269, 216, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(442, 266, F4, 13) (dual of [266, 224, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(464, 273, F4, 19) (dual of [273, 209, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(465, 275, F4, 19) (dual of [275, 210, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(464, 275, F4, 19) (dual of [275, 211, 20]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 8 | Linear OA(463, 273, F4, 19) (dual of [273, 210, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(462, 271, F4, 19) (dual of [271, 209, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(457, 276, F4, 17) (dual of [276, 219, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(456, 274, F4, 17) (dual of [274, 218, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(455, 272, F4, 17) (dual of [272, 217, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(452, 269, F4, 15) (dual of [269, 217, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(444, 269, F4, 13) (dual of [269, 225, 14]-code) | [i] | ✔ | |