Information on Result #722350
Linear OA(16117, 255, F16, 71) (dual of [255, 138, 72]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,70], and designed minimum distance d ≥ |I|+1 = 72
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(16130, 286, F16, 71) (dual of [286, 156, 72]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(16129, 284, F16, 71) (dual of [284, 155, 72]-code) | [i] | ✔ | |
| 3 | Linear OA(16127, 279, F16, 71) (dual of [279, 152, 72]-code) | [i] | ✔ | |
| 4 | Linear OA(16126, 277, F16, 71) (dual of [277, 151, 72]-code) | [i] | ✔ | |
| 5 | Linear OA(16119, 259, F16, 72) (dual of [259, 140, 73]-code) | [i] | ✔ | |
| 6 | Linear OA(16125, 265, F16, 74) (dual of [265, 140, 75]-code) | [i] | ✔ | |
| 7 | Linear OA(16121, 259, F16, 73) (dual of [259, 138, 74]-code) | [i] | ✔ | |
| 8 | Linear OA(16124, 262, F16, 74) (dual of [262, 138, 75]-code) | [i] | ✔ | |
| 9 | Linear OA(16127, 265, F16, 75) (dual of [265, 138, 76]-code) | [i] | ✔ | |
| 10 | Linear OA(16130, 268, F16, 76) (dual of [268, 138, 77]-code) | [i] | ✔ | |