Information on Result #616193
Linear OA(1613, 4097, F16, 5) (dual of [4097, 4084, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(1615, 4100, F16, 5) (dual of [4100, 4085, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(1620, 4104, F16, 7) (dual of [4104, 4084, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(1628, 4112, F16, 9) (dual of [4112, 4084, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(1636, 4115, F16, 11) (dual of [4115, 4079, 12]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 5 | Linear OA(1620, 4105, F16, 7) (dual of [4105, 4085, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |