Information on Result #691872
Linear OA(1655, 4097, F16, 19) (dual of [4097, 4042, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(1655, 3188, F16, 2, 19) (dual of [(3188, 2), 6321, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (36, 55, 3188)-net over F16 | [i] | ||
| 3 | Linear OA(1662, 4104, F16, 21) (dual of [4104, 4042, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(1656, 4104, F16, 19) (dual of [4104, 4048, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(1670, 4112, F16, 23) (dual of [4112, 4042, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(1658, 4112, F16, 19) (dual of [4112, 4054, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(1679, 4121, F16, 25) (dual of [4121, 4042, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(1677, 4114, F16, 24) (dual of [4114, 4037, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(1661, 4121, F16, 19) (dual of [4121, 4060, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(1688, 4130, F16, 27) (dual of [4130, 4042, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(1697, 4135, F16, 29) (dual of [4135, 4038, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(1698, 4140, F16, 29) (dual of [4140, 4042, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(1696, 4135, F16, 28) (dual of [4135, 4039, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(16109, 4146, F16, 33) (dual of [4146, 4037, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(16110, 4152, F16, 33) (dual of [4152, 4042, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(16108, 4146, F16, 32) (dual of [4146, 4038, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(16107, 4146, F16, 31) (dual of [4146, 4039, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(16118, 4160, F16, 35) (dual of [4160, 4042, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(16127, 4164, F16, 37) (dual of [4164, 4037, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(16128, 4166, F16, 37) (dual of [4166, 4038, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(16129, 4168, F16, 37) (dual of [4168, 4039, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(16130, 4170, F16, 37) (dual of [4170, 4040, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(1686, 4123, F16, 26) (dual of [4123, 4037, 27]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 24 | Linear OA(1678, 4115, F16, 25) (dual of [4115, 4037, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(1680, 4123, F16, 24) (dual of [4123, 4043, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(1672, 4115, F16, 23) (dual of [4115, 4043, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(1660, 4115, F16, 19) (dual of [4115, 4055, 20]-code) | [i] | ✔ | |