Information on Result #691870
Linear OA(1661, 4097, F16, 21) (dual of [4097, 4036, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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 OOA(1661, 3345, F16, 2, 21) (dual of [(3345, 2), 6629, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (40, 61, 3345)-net over F16 | [i] | ||
| 3 | Linear OA(1668, 4104, F16, 23) (dual of [4104, 4036, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(1662, 4104, F16, 21) (dual of [4104, 4042, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(1676, 4112, F16, 25) (dual of [4112, 4036, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(1664, 4112, F16, 21) (dual of [4112, 4048, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(1685, 4121, F16, 27) (dual of [4121, 4036, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(1683, 4114, F16, 26) (dual of [4114, 4031, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(1667, 4121, F16, 21) (dual of [4121, 4054, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(1665, 4114, F16, 20) (dual of [4114, 4049, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(1694, 4130, F16, 29) (dual of [4130, 4036, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(1670, 4130, F16, 21) (dual of [4130, 4060, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(16106, 4142, F16, 33) (dual of [4142, 4036, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(16104, 4135, F16, 32) (dual of [4135, 4031, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(16103, 4135, F16, 31) (dual of [4135, 4032, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(16102, 4135, F16, 30) (dual of [4135, 4033, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(16115, 4146, F16, 35) (dual of [4146, 4031, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(16116, 4152, F16, 35) (dual of [4152, 4036, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(16114, 4146, F16, 34) (dual of [4146, 4032, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(16124, 4160, F16, 37) (dual of [4160, 4036, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(1692, 4123, F16, 28) (dual of [4123, 4031, 29]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 22 | Linear OA(1684, 4115, F16, 27) (dual of [4115, 4031, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(1686, 4123, F16, 26) (dual of [4123, 4037, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(1678, 4115, F16, 25) (dual of [4115, 4037, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(1666, 4115, F16, 21) (dual of [4115, 4049, 22]-code) | [i] | ✔ | |