Information on Result #691862
Linear OA(1685, 4097, F16, 29) (dual of [4097, 4012, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(1685, 4045, F16, 2, 29) (dual of [(4045, 2), 8005, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (56, 85, 4045)-net over F16 | [i] | ||
| 3 | Linear OA(1694, 4106, F16, 33) (dual of [4106, 4012, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(1686, 4104, F16, 29) (dual of [4104, 4018, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(16102, 4114, F16, 35) (dual of [4114, 4012, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(1688, 4112, F16, 29) (dual of [4112, 4024, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(16111, 4121, F16, 37) (dual of [4121, 4010, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(16112, 4124, F16, 37) (dual of [4124, 4012, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(16110, 4121, F16, 36) (dual of [4121, 4011, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(1691, 4121, F16, 29) (dual of [4121, 4030, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(1689, 4114, F16, 28) (dual of [4114, 4025, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(16120, 4130, F16, 39) (dual of [4130, 4010, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(16121, 4133, F16, 39) (dual of [4133, 4012, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(16119, 4130, F16, 38) (dual of [4130, 4011, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(1694, 4130, F16, 29) (dual of [4130, 4036, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(16130, 4142, F16, 41) (dual of [4142, 4012, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(16128, 4135, F16, 40) (dual of [4135, 4007, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(1697, 4135, F16, 29) (dual of [4135, 4038, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(1698, 4140, F16, 29) (dual of [4140, 4042, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(1696, 4135, F16, 28) (dual of [4135, 4039, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(16101, 4146, F16, 29) (dual of [4146, 4045, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(16118, 4125, F16, 38) (dual of [4125, 4007, 39]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(16110, 4117, F16, 37) (dual of [4117, 4007, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(16103, 4116, F16, 34) (dual of [4116, 4013, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(1690, 4115, F16, 29) (dual of [4115, 4025, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(1692, 4123, F16, 28) (dual of [4123, 4031, 29]-code) | [i] | ✔ | |