Information on Result #616513
Linear OA(1665, 257, F16, 37) (dual of [257, 192, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(4130, 514, F4, 37) (dual of [514, 384, 38]-code) | [i] | Trace Code | |
| 2 | Linear OA(1682, 275, F16, 37) (dual of [275, 193, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(1670, 262, F16, 39) (dual of [262, 192, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(1666, 262, F16, 37) (dual of [262, 196, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(1676, 268, F16, 41) (dual of [268, 192, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(1672, 272, F16, 37) (dual of [272, 200, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(1682, 274, F16, 43) (dual of [274, 192, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(1689, 281, F16, 45) (dual of [281, 192, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(1687, 276, F16, 44) (dual of [276, 189, 45]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 10 | Linear OA(1683, 276, F16, 42) (dual of [276, 193, 43]-code) | [i] | ✔ | |