Information on Result #616349
Linear OA(1669, 65536, F16, 19) (dual of [65536, 65467, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(1673, 65540, F16, 20) (dual of [65540, 65467, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(1669, 65540, F16, 19) (dual of [65540, 65471, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(1678, 65545, F16, 21) (dual of [65545, 65467, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(1670, 65545, F16, 19) (dual of [65545, 65475, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(1683, 65550, F16, 22) (dual of [65550, 65467, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(1672, 65551, F16, 19) (dual of [65551, 65479, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(1688, 65554, F16, 23) (dual of [65554, 65466, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(1689, 65556, F16, 23) (dual of [65556, 65467, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(1673, 65553, F16, 19) (dual of [65553, 65480, 20]-code) | [i] | ✔ | |