Information on Result #616249
Linear OA(1628, 4096, F16, 10) (dual of [4096, 4068, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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 OA(1633, 4113, F16, 10) (dual of [4113, 4080, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1634, 4120, F16, 10) (dual of [4120, 4086, 11]-code) | [i] | ||
| 3 | Linear OA(1635, 4337, F16, 10) (dual of [4337, 4302, 11]-code) | [i] | ||
| 4 | Linear OOA(1628, 2904, F16, 2, 10) (dual of [(2904, 2), 5780, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (18, 28, 2904)-net over F16 | [i] | ||
| 6 | Linear OA(1635, 4104, F16, 10) (dual of [4104, 4069, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(1631, 4099, F16, 11) (dual of [4099, 4068, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(1628, 4099, F16, 10) (dual of [4099, 4071, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(1635, 4103, F16, 12) (dual of [4103, 4068, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(1629, 4103, F16, 10) (dual of [4103, 4074, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(1639, 4107, F16, 13) (dual of [4107, 4068, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(1630, 4107, F16, 10) (dual of [4107, 4077, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(1643, 4111, F16, 14) (dual of [4111, 4068, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(1631, 4111, F16, 10) (dual of [4111, 4080, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(1648, 4116, F16, 15) (dual of [4116, 4068, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(1632, 4113, F16, 10) (dual of [4113, 4081, 11]-code) | [i] | ✔ | |
| 17 | Linear OA(1633, 4116, F16, 10) (dual of [4116, 4083, 11]-code) | [i] | ✔ | |
| 18 | Linear OA(1653, 4120, F16, 17) (dual of [4120, 4067, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(1654, 4122, F16, 17) (dual of [4122, 4068, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(1652, 4120, F16, 16) (dual of [4120, 4068, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(1658, 4126, F16, 18) (dual of [4126, 4068, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(1662, 4129, F16, 19) (dual of [4129, 4067, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(1663, 4131, F16, 19) (dual of [4131, 4068, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(1667, 4134, F16, 20) (dual of [4134, 4067, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(1668, 4136, F16, 20) (dual of [4136, 4068, 21]-code) | [i] | ✔ | |
| 26 | Linear OOA(1628, 819, F16, 10, 10) (dual of [(819, 10), 8162, 11]-NRT-code) | [i] | OA Folding and Stacking | |