Information on Result #619603
Linear OA(12816, 129, F128, 9) (dual of [129, 113, 10]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,8], and minimum distance d ≥ |{1,2,…,8}| + |{0,20,40,…,31}∖{20,40,60,−49,−29,11,31}| = 10 (general Roos-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(12824, 137, F128, 17) (dual of [137, 113, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |