Information on Result #614657
Linear OA(766, 72, F7, 41) (dual of [72, 6, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [0,38], and minimum distance d ≥ |{−2,−1,…,38}|+1 = 42 (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.
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(718, 24, F7, 13) (dual of [24, 6, 14]-code) | [i] | ✔ | Contraction (with Expurgated Narrow-Sense BCH-Code) |
| 2 | Linear OA(768, 75, F7, 41) (dual of [75, 7, 42]-code) | [i] | ✔ | Construction X with Cyclic Codes |