Information on Result #692552
Linear OA(1693, 257, F16, 51) (dual of [257, 164, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (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(16104, 268, F16, 55) (dual of [268, 164, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(1696, 268, F16, 51) (dual of [268, 172, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(16110, 274, F16, 57) (dual of [274, 164, 58]-code) | [i] | ✔ | |
| 4 | Linear OA(1698, 274, F16, 51) (dual of [274, 176, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(16117, 281, F16, 59) (dual of [281, 164, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(16101, 281, F16, 51) (dual of [281, 180, 52]-code) | [i] | ✔ | |
| 7 | Linear OA(16129, 290, F16, 66) (dual of [290, 161, 67]-code) | [i] | ✔ | |
| 8 | Linear OA(16130, 294, F16, 66) (dual of [294, 164, 67]-code) | [i] | ✔ | |
| 9 | Linear OA(16128, 290, F16, 65) (dual of [290, 162, 66]-code) | [i] | ✔ | |
| 10 | Linear OA(16127, 290, F16, 64) (dual of [290, 163, 65]-code) | [i] | ✔ | |
| 11 | Linear OA(16115, 276, F16, 58) (dual of [276, 161, 59]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 12 | Linear OA(16111, 276, F16, 56) (dual of [276, 165, 57]-code) | [i] | ✔ | |
| 13 | Linear OA(1699, 276, F16, 50) (dual of [276, 177, 51]-code) | [i] | ✔ | |