Information on Result #616535
Linear OA(16109, 4097, F16, 39) (dual of [4097, 3988, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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(16129, 4121, F16, 39) (dual of [4121, 3992, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16130, 4130, F16, 39) (dual of [4130, 4000, 40]-code) | [i] | ||
| 3 | Linear OA(16127, 4116, F16, 39) (dual of [4116, 3989, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(16116, 4104, F16, 41) (dual of [4104, 3988, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(16110, 4104, F16, 39) (dual of [4104, 3994, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(16124, 4112, F16, 43) (dual of [4112, 3988, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(16112, 4112, F16, 39) (dual of [4112, 4000, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(16115, 4121, F16, 39) (dual of [4121, 4006, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(16113, 4114, F16, 38) (dual of [4114, 4001, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(16120, 4130, F16, 39) (dual of [4130, 4010, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(16121, 4133, F16, 39) (dual of [4133, 4012, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(16119, 4130, F16, 38) (dual of [4130, 4011, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(16124, 4142, F16, 39) (dual of [4142, 4018, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(16122, 4135, F16, 38) (dual of [4135, 4013, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(16127, 4146, F16, 39) (dual of [4146, 4019, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(16128, 4152, F16, 39) (dual of [4152, 4024, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(16126, 4146, F16, 38) (dual of [4146, 4020, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(16130, 4160, F16, 39) (dual of [4160, 4030, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(16126, 4115, F16, 43) (dual of [4115, 3989, 44]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 20 | Linear OA(16114, 4115, F16, 39) (dual of [4115, 4001, 40]-code) | [i] | ✔ | |
| 21 | Linear OA(16118, 4125, F16, 38) (dual of [4125, 4007, 39]-code) | [i] | ✔ | |