Information on Result #685811
Linear OA(743, 48, F7, 34) (dual of [48, 5, 35]-code), using contraction based on 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) [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 Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(743, 50, F7, 34) (dual of [50, 7, 35]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(744, 52, F7, 34) (dual of [52, 8, 35]-code) | [i] | ✔ | |
| 3 | Linear OA(752, 64, F7, 34) (dual of [64, 12, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(753, 67, F7, 34) (dual of [67, 14, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(756, 71, F7, 34) (dual of [71, 15, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(745, 54, F7, 34) (dual of [54, 9, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(757, 73, F7, 34) (dual of [73, 16, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(756, 72, F7, 34) (dual of [72, 16, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(753, 68, F7, 34) (dual of [68, 15, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(752, 65, F7, 34) (dual of [65, 13, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(744, 53, F7, 34) (dual of [53, 9, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(743, 51, F7, 34) (dual of [51, 8, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(754, 69, F7, 34) (dual of [69, 15, 35]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 14 | Linear OA(751, 62, F7, 34) (dual of [62, 11, 35]-code) | [i] | ✔ | |