Information on Result #685899
Linear OA(742, 48, F7, 33) (dual of [48, 6, 34]-code), using contraction based on linear OA(790, 96, F7, 67) (dual of [96, 6, 68]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(755, 71, F7, 33) (dual of [71, 16, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(756, 72, F7, 34) (dual of [72, 16, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(753, 68, F7, 34) (dual of [68, 15, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(752, 65, F7, 34) (dual of [65, 13, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(744, 53, F7, 34) (dual of [53, 9, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(743, 51, F7, 34) (dual of [51, 8, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(753, 69, F7, 33) (dual of [69, 16, 34]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |