Information on Result #701300
Linear OA(727, 48, F7, 18) (dual of [48, 21, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(766, 78, F7, 37) (dual of [78, 12, 38]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(765, 76, F7, 37) (dual of [76, 11, 38]-code) | [i] | ||
| 3 | Linear OA(764, 74, F7, 37) (dual of [74, 10, 38]-code) | [i] | ||
| 4 | Linear OA(755, 76, F7, 31) (dual of [76, 21, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(732, 60, F7, 18) (dual of [60, 28, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(731, 58, F7, 18) (dual of [58, 27, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(735, 67, F7, 18) (dual of [67, 32, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(730, 56, F7, 18) (dual of [56, 26, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(729, 52, F7, 19) (dual of [52, 23, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(732, 55, F7, 20) (dual of [55, 23, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(736, 60, F7, 21) (dual of [60, 24, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(735, 58, F7, 21) (dual of [58, 23, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(745, 68, F7, 26) (dual of [68, 23, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(749, 72, F7, 27) (dual of [72, 23, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(748, 70, F7, 27) (dual of [70, 22, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(731, 52, F7, 20) (dual of [52, 21, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(747, 68, F7, 27) (dual of [68, 21, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(750, 70, F7, 28) (dual of [70, 20, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(752, 73, F7, 29) (dual of [73, 21, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(750, 71, F7, 28) (dual of [71, 21, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(751, 70, F7, 30) (dual of [70, 19, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(749, 67, F7, 29) (dual of [67, 18, 30]-code) | [i] | ✔ | |