Information on Result #616308
Linear OA(1643, 4097, F16, 15) (dual of [4097, 4054, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(1650, 4114, F16, 15) (dual of [4114, 4064, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1651, 4121, F16, 15) (dual of [4121, 4070, 16]-code) | [i] | ||
| 3 | Linear OA(1652, 4130, F16, 15) (dual of [4130, 4078, 16]-code) | [i] | ||
| 4 | Linear OA(1653, 4135, F16, 15) (dual of [4135, 4082, 16]-code) | [i] | ||
| 5 | Linear OA(1654, 4148, F16, 15) (dual of [4148, 4094, 16]-code) | [i] | ||
| 6 | Linear OA(1655, 4182, F16, 15) (dual of [4182, 4127, 16]-code) | [i] | ||
| 7 | Linear OA(1655, 4131, F16, 15) (dual of [4131, 4076, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(1649, 4104, F16, 15) (dual of [4104, 4055, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(1650, 4104, F16, 17) (dual of [4104, 4054, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(1644, 4104, F16, 15) (dual of [4104, 4060, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(1658, 4112, F16, 19) (dual of [4112, 4054, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(1646, 4112, F16, 15) (dual of [4112, 4066, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(1667, 4121, F16, 21) (dual of [4121, 4054, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(1665, 4114, F16, 20) (dual of [4114, 4049, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(1649, 4121, F16, 15) (dual of [4121, 4072, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(1647, 4114, F16, 14) (dual of [4114, 4067, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(1676, 4130, F16, 23) (dual of [4130, 4054, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(1685, 4135, F16, 25) (dual of [4135, 4050, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(1666, 4115, F16, 21) (dual of [4115, 4049, 22]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 20 | Linear OA(1660, 4115, F16, 19) (dual of [4115, 4055, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(1648, 4115, F16, 15) (dual of [4115, 4067, 16]-code) | [i] | ✔ | |