Information on Result #691868
Linear OA(1667, 4097, F16, 23) (dual of [4097, 4030, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(1667, 3511, F16, 2, 23) (dual of [(3511, 2), 6955, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (44, 67, 3511)-net over F16 | [i] | ||
| 3 | Linear OA(1674, 4104, F16, 25) (dual of [4104, 4030, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(1668, 4104, F16, 23) (dual of [4104, 4036, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(1682, 4112, F16, 27) (dual of [4112, 4030, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(1670, 4112, F16, 23) (dual of [4112, 4042, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(1691, 4121, F16, 29) (dual of [4121, 4030, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(1689, 4114, F16, 28) (dual of [4114, 4025, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(1673, 4121, F16, 23) (dual of [4121, 4048, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(1671, 4114, F16, 22) (dual of [4114, 4043, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(16102, 4130, F16, 33) (dual of [4130, 4028, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(16103, 4133, F16, 33) (dual of [4133, 4030, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(16101, 4130, F16, 32) (dual of [4130, 4029, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(16100, 4130, F16, 31) (dual of [4130, 4030, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(1676, 4130, F16, 23) (dual of [4130, 4054, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(16112, 4142, F16, 35) (dual of [4142, 4030, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(16110, 4135, F16, 34) (dual of [4135, 4025, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(16121, 4146, F16, 37) (dual of [4146, 4025, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(16122, 4152, F16, 37) (dual of [4152, 4030, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(16120, 4146, F16, 36) (dual of [4146, 4026, 37]-code) | [i] | ✔ | |
| 21 | Linear OA(16130, 4160, F16, 39) (dual of [4160, 4030, 40]-code) | [i] | ✔ | |
| 22 | Linear OA(1698, 4123, F16, 30) (dual of [4123, 4025, 31]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(1690, 4115, F16, 29) (dual of [4115, 4025, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(1692, 4123, F16, 28) (dual of [4123, 4031, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(1684, 4115, F16, 27) (dual of [4115, 4031, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(1672, 4115, F16, 23) (dual of [4115, 4043, 24]-code) | [i] | ✔ | |