Information on Result #619445
Linear OA(8138, 82, F81, 20) (dual of [82, 44, 21]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,19], and minimum distance d ≥ |{1,2,…,18}| + |{0,9,18,…,7}∖{9,18,27,36,−37,−28,−10,−1,8,17,26,35,−38,−29,−11,−2,7}| = 21 (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(8157, 101, F81, 39) (dual of [101, 44, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |