Information on Result #685817
Linear OA(736, 48, F7, 26) (dual of [48, 12, 27]-code), using contraction based on linear OA(784, 96, F7, 53) (dual of [96, 12, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,51], and minimum distance d ≥ |{−1,0,…,51}|+1 = 54 (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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- 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(783, 94, F7, 53) (dual of [94, 11, 54]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(782, 92, F7, 53) (dual of [92, 10, 54]-code) | [i] | ||
| 3 | Linear OA(736, 50, F7, 26) (dual of [50, 14, 27]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(741, 53, F7, 28) (dual of [53, 12, 29]-code) | [i] | ✔ | |
| 5 | Linear OA(745, 56, F7, 32) (dual of [56, 11, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(746, 58, F7, 32) (dual of [58, 12, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(744, 56, F7, 31) (dual of [56, 12, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(737, 52, F7, 26) (dual of [52, 15, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(749, 61, F7, 33) (dual of [61, 12, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(752, 64, F7, 34) (dual of [64, 12, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(738, 54, F7, 26) (dual of [54, 16, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(761, 74, F7, 39) (dual of [74, 13, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 13 | Linear OA(755, 68, F7, 35) (dual of [68, 13, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(752, 65, F7, 34) (dual of [65, 13, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(749, 62, F7, 33) (dual of [62, 13, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(746, 59, F7, 32) (dual of [59, 13, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(744, 57, F7, 31) (dual of [57, 13, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(745, 57, F7, 32) (dual of [57, 12, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(738, 51, F7, 27) (dual of [51, 13, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(737, 53, F7, 26) (dual of [53, 16, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(736, 51, F7, 26) (dual of [51, 15, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(748, 61, F7, 33) (dual of [61, 13, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(763, 76, F7, 39) (dual of [76, 13, 40]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 24 | Linear OA(763, 77, F7, 39) (dual of [77, 14, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(762, 75, F7, 39) (dual of [75, 13, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(756, 69, F7, 35) (dual of [69, 13, 36]-code) | [i] | ✔ | |
| 27 | Linear OA(748, 59, F7, 33) (dual of [59, 11, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(747, 60, F7, 32) (dual of [60, 13, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(744, 57, F7, 30) (dual of [57, 13, 31]-code) | [i] | ✔ | |