Information on Result #701305
Linear OA(731, 48, F7, 20) (dual of [48, 17, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21
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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(749, 66, F7, 29) (dual of [66, 17, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(739, 67, F7, 20) (dual of [67, 28, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(738, 65, F7, 20) (dual of [65, 27, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(738, 66, F7, 20) (dual of [66, 28, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(737, 64, F7, 20) (dual of [64, 27, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(736, 62, F7, 20) (dual of [62, 26, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(733, 52, F7, 21) (dual of [52, 19, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(752, 73, F7, 29) (dual of [73, 21, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(750, 71, F7, 28) (dual of [71, 21, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(751, 74, F7, 28) (dual of [74, 23, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(747, 64, F7, 28) (dual of [64, 17, 29]-code) | [i] | ✔ | |