Information on Result #692527
Linear OA(16109, 257, F16, 59) (dual of [257, 148, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound)
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(16122, 270, F16, 69) (dual of [270, 148, 70]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(16128, 274, F16, 71) (dual of [274, 146, 72]-code) | [i] | ✔ | |
| 3 | Linear OA(16129, 277, F16, 71) (dual of [277, 148, 72]-code) | [i] | ✔ | |
| 4 | Linear OA(16127, 274, F16, 70) (dual of [274, 147, 71]-code) | [i] | ✔ | |
| 5 | Linear OA(16112, 268, F16, 59) (dual of [268, 156, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(16114, 274, F16, 59) (dual of [274, 160, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(16117, 281, F16, 59) (dual of [281, 164, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(16115, 276, F16, 58) (dual of [276, 161, 59]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |