Information on Result #721568
Linear OA(1636, 255, F16, 20) (dual of [255, 219, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1638, 259, F16, 21) (dual of [259, 221, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(1641, 262, F16, 22) (dual of [262, 221, 23]-code) | [i] | ✔ | |
| 3 | Linear OA(1644, 265, F16, 23) (dual of [265, 221, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(1647, 268, F16, 24) (dual of [268, 221, 25]-code) | [i] | ✔ | |
| 5 | Linear OA(1640, 259, F16, 22) (dual of [259, 219, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(1643, 262, F16, 23) (dual of [262, 219, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(1646, 265, F16, 24) (dual of [265, 219, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(1649, 268, F16, 25) (dual of [268, 219, 26]-code) | [i] | ✔ | |