Information on Result #683265
Linear OA(525, 626, F5, 7) (dual of [626, 601, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(536, 632, F5, 11) (dual of [632, 596, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(537, 638, F5, 11) (dual of [638, 601, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(535, 632, F5, 10) (dual of [632, 597, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(548, 647, F5, 13) (dual of [647, 599, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(549, 650, F5, 13) (dual of [650, 601, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(557, 651, F5, 15) (dual of [651, 594, 16]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 7 | Linear OA(547, 642, F5, 13) (dual of [642, 595, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(546, 640, F5, 13) (dual of [640, 594, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(539, 641, F5, 11) (dual of [641, 602, 12]-code) | [i] | ✔ | |