Information on Result #616183
Linear OA(1610, 4096, F16, 4) (dual of [4096, 4086, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(1610, 4099, F16, 4) (dual of [4099, 4089, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(1617, 4103, F16, 6) (dual of [4103, 4086, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(1621, 4107, F16, 7) (dual of [4107, 4086, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(1625, 4111, F16, 8) (dual of [4111, 4086, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(1617, 4104, F16, 6) (dual of [4104, 4087, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |