Information on Result #692550
Linear OA(1697, 257, F16, 53) (dual of [257, 160, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (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(16108, 268, F16, 57) (dual of [268, 160, 58]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(16100, 268, F16, 53) (dual of [268, 168, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(16114, 274, F16, 59) (dual of [274, 160, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(16102, 274, F16, 53) (dual of [274, 172, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(16130, 290, F16, 69) (dual of [290, 160, 70]-code) | [i] | ✔ | |
| 6 | Linear OA(16124, 281, F16, 64) (dual of [281, 157, 65]-code) | [i] | ✔ | |
| 7 | Linear OA(16123, 281, F16, 63) (dual of [281, 158, 64]-code) | [i] | ✔ | |
| 8 | Linear OA(16122, 281, F16, 62) (dual of [281, 159, 63]-code) | [i] | ✔ | |
| 9 | Linear OA(16121, 281, F16, 61) (dual of [281, 160, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(16105, 281, F16, 53) (dual of [281, 176, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(16126, 283, F16, 66) (dual of [283, 157, 67]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 12 | Linear OA(16119, 276, F16, 60) (dual of [276, 157, 61]-code) | [i] | ✔ | |
| 13 | Linear OA(16115, 276, F16, 58) (dual of [276, 161, 59]-code) | [i] | ✔ | |
| 14 | Linear OA(16103, 276, F16, 52) (dual of [276, 173, 53]-code) | [i] | ✔ | |