Information on Result #692052
Linear OA(1643, 4096, F16, 15) (dual of [4096, 4053, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(1643, 2928, F16, 2, 15) (dual of [(2928, 2), 5813, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (28, 43, 2928)-net over F16 | [i] | ||
| 3 | Linear OA(1647, 4100, F16, 17) (dual of [4100, 4053, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1643, 4099, F16, 15) (dual of [4099, 4056, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(1651, 4104, F16, 18) (dual of [4104, 4053, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(1655, 4108, F16, 19) (dual of [4108, 4053, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(1645, 4107, F16, 15) (dual of [4107, 4062, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(1659, 4112, F16, 20) (dual of [4112, 4053, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(1664, 4117, F16, 21) (dual of [4117, 4053, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(1648, 4116, F16, 15) (dual of [4116, 4068, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(1668, 4120, F16, 22) (dual of [4120, 4052, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(1669, 4122, F16, 22) (dual of [4122, 4053, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(1673, 4126, F16, 23) (dual of [4126, 4053, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(1651, 4125, F16, 15) (dual of [4125, 4074, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(1677, 4129, F16, 24) (dual of [4129, 4052, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(1678, 4131, F16, 24) (dual of [4131, 4053, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(1682, 4134, F16, 25) (dual of [4134, 4052, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(1683, 4136, F16, 25) (dual of [4136, 4053, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(1687, 4140, F16, 26) (dual of [4140, 4053, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(1692, 4145, F16, 27) (dual of [4145, 4053, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(1697, 4150, F16, 28) (dual of [4150, 4053, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(16101, 4154, F16, 29) (dual of [4154, 4053, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(16105, 4158, F16, 30) (dual of [4158, 4053, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(1663, 4114, F16, 21) (dual of [4114, 4051, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(1660, 4114, F16, 20) (dual of [4114, 4054, 21]-code) | [i] | ✔ | |
| 26 | Linear OOA(1643, 585, F16, 15, 15) (dual of [(585, 15), 8732, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |