Information on Result #616214
Linear OA(1619, 4097, F16, 7) (dual of [4097, 4078, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, 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(1622, 4115, F16, 7) (dual of [4115, 4093, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1623, 4354, F16, 7) (dual of [4354, 4331, 8]-code) | [i] | ||
| 3 | Linear OA(1624, 4726, F16, 7) (dual of [4726, 4702, 8]-code) | [i] | ||
| 4 | Linear OA(1621, 4100, F16, 7) (dual of [4100, 4079, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(1626, 4104, F16, 9) (dual of [4104, 4078, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(1620, 4104, F16, 7) (dual of [4104, 4084, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(1634, 4112, F16, 11) (dual of [4112, 4078, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(1643, 4121, F16, 13) (dual of [4121, 4078, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(1642, 4115, F16, 13) (dual of [4115, 4073, 14]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 10 | Linear OA(1636, 4115, F16, 11) (dual of [4115, 4079, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(1620, 4105, F16, 7) (dual of [4105, 4085, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |