Information on Result #620764
Linear OA(1688, 257, F16, 52) (dual of [257, 169, 53]-code), using the BCH-code C(I) with length 257 | 164−1, defining interval I = {1,6,11,…,256}, and designed minimum distance d ≥ |I|+1 = 53
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1688, 257, F16, 51) (dual of [257, 169, 52]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1688, 257, F16, 50) (dual of [257, 169, 51]-code) | [i] | ||
| 3 | Linear OA(1689, 258, F16, 52) (dual of [258, 169, 53]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(1685, 254, F16, 49) (dual of [254, 169, 50]-code) | [i] | Truncation | |
| 5 | Linear OA(1684, 253, F16, 48) (dual of [253, 169, 49]-code) | [i] | ||
| 6 | Linear OA(1683, 252, F16, 47) (dual of [252, 169, 48]-code) | [i] | ||
| 7 | Linear OA(1682, 251, F16, 46) (dual of [251, 169, 47]-code) | [i] | ||
| 8 | Linear OA(4176, 514, F4, 52) (dual of [514, 338, 53]-code) | [i] | Trace Code | |
| 9 | Linear OA(1696, 277, F16, 52) (dual of [277, 181, 53]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(1697, 287, F16, 52) (dual of [287, 190, 53]-code) | [i] | ||
| 11 | Linear OA(1698, 299, F16, 52) (dual of [299, 201, 53]-code) | [i] | ||