Information on Result #616550
Linear OA(16115, 4097, F16, 41) (dual of [4097, 3982, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(16122, 4104, F16, 43) (dual of [4104, 3982, 44]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(16116, 4104, F16, 41) (dual of [4104, 3988, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(16130, 4112, F16, 45) (dual of [4112, 3982, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(16118, 4112, F16, 41) (dual of [4112, 3994, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(16121, 4121, F16, 41) (dual of [4121, 4000, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(16119, 4114, F16, 40) (dual of [4114, 3995, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(16124, 4130, F16, 41) (dual of [4130, 4006, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(16130, 4142, F16, 41) (dual of [4142, 4012, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(16128, 4135, F16, 40) (dual of [4135, 4007, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(16120, 4115, F16, 41) (dual of [4115, 3995, 42]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 11 | Linear OA(16122, 4123, F16, 40) (dual of [4123, 4001, 41]-code) | [i] | ✔ | |