Information on Result #614655
Linear OA(753, 57, F7, 41) (dual of [57, 4, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,30], and minimum distance d ≥ |{−10,−9,…,30}|+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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(763, 68, F7, 41) (dual of [68, 5, 42]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(756, 63, F7, 42) (dual of [63, 7, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |