Information on Result #692543
Linear OA(16105, 257, F16, 57) (dual of [257, 152, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (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(16124, 274, F16, 69) (dual of [274, 150, 70]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(16125, 277, F16, 69) (dual of [277, 152, 70]-code) | [i] | ✔ | |
| 3 | Linear OA(16123, 274, F16, 68) (dual of [274, 151, 69]-code) | [i] | ✔ | |
| 4 | Linear OA(16122, 274, F16, 67) (dual of [274, 152, 68]-code) | [i] | ✔ | |
| 5 | Linear OA(16108, 268, F16, 57) (dual of [268, 160, 58]-code) | [i] | ✔ | |
| 6 | Linear OA(16130, 281, F16, 70) (dual of [281, 151, 71]-code) | [i] | ✔ | |
| 7 | Linear OA(16110, 274, F16, 57) (dual of [274, 164, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(16113, 281, F16, 57) (dual of [281, 168, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(16123, 276, F16, 66) (dual of [276, 153, 67]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 10 | Linear OA(16111, 276, F16, 56) (dual of [276, 165, 57]-code) | [i] | ✔ | |