Information on Result #616678
Linear OA(16125, 257, F16, 75) (dual of [257, 132, 76]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,37], and minimum distance d ≥ |{−37,−36,…,37}|+1 = 76 (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(4250, 514, F4, 75) (dual of [514, 264, 76]-code) | [i] | Trace Code | |
| 2 | Linear OA(16130, 262, F16, 77) (dual of [262, 132, 78]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(16126, 262, F16, 75) (dual of [262, 136, 76]-code) | [i] | ✔ | |
| 4 | Linear OA(16128, 268, F16, 75) (dual of [268, 140, 76]-code) | [i] | ✔ | |
| 5 | Linear OA(16130, 274, F16, 75) (dual of [274, 144, 76]-code) | [i] | ✔ | |