Information on Result #613122
Linear OA(499, 113, F4, 39) (dual of [113, 14, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 113 | 414−1, defining interval I = [0,12], and minimum distance d ≥ |{1,12}| + |{−13,26,65,…,0}∖{50}| = 40 (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(499, 114, F4, 39) (dual of [114, 15, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |