Information on Result #614471
Linear OA(732, 50, F7, 12) (dual of [50, 18, 13]-code), using the narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [1,10], and minimum distance d ≥ |{1,2,…,9}| + |{−21,−10,1,…,0}∖{−22,17,6,−5,−16,23,12,−21}| = 13 (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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(741, 59, F7, 21) (dual of [59, 18, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |