Information on Result #614762
Linear OA(791, 96, F7, 69) (dual of [96, 5, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,67], and minimum distance d ≥ |{−1,0,…,67}|+1 = 70 (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(743, 48, F7, 34) (dual of [48, 5, 35]-code) | [i] | ✔ | Contraction (with Expurgated Narrow-Sense BCH-Code) |
| 2 | Linear OA(792, 98, F7, 69) (dual of [98, 6, 70]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(792, 99, F7, 69) (dual of [99, 7, 70]-code) | [i] | ✔ | |
| 4 | Linear OA(795, 104, F7, 69) (dual of [104, 9, 70]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(793, 101, F7, 69) (dual of [101, 8, 70]-code) | [i] | ✔ | |
| 6 | Linear OA(796, 105, F7, 69) (dual of [105, 9, 70]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |