Information on Result #692064
Linear OA(1619, 4096, F16, 7) (dual of [4096, 4077, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(1619, 3753, F16, 2, 7) (dual of [(3753, 2), 7487, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (12, 19, 3753)-net over F16 | [i] | ||
| 3 | Linear OA(1622, 4099, F16, 8) (dual of [4099, 4077, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1619, 4099, F16, 7) (dual of [4099, 4080, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(1630, 4107, F16, 10) (dual of [4107, 4077, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(1621, 4107, F16, 7) (dual of [4107, 4086, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(1638, 4113, F16, 12) (dual of [4113, 4075, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(1639, 4116, F16, 12) (dual of [4116, 4077, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(1648, 4125, F16, 14) (dual of [4125, 4077, 15]-code) | [i] | ✔ | |