Information on Result #685827
Linear OA(733, 48, F7, 24) (dual of [48, 15, 25]-code), using contraction based on linear OA(781, 96, F7, 49) (dual of [96, 15, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,47], and minimum distance d ≥ |{−1,0,…,47}|+1 = 50 (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
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [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(779, 92, F7, 49) (dual of [92, 13, 50]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(778, 90, F7, 49) (dual of [90, 12, 50]-code) | [i] | ||
| 3 | Linear OA(777, 88, F7, 49) (dual of [88, 11, 50]-code) | [i] | ||
| 4 | Linear OA(776, 86, F7, 49) (dual of [86, 10, 50]-code) | [i] | ||
| 5 | Linear OA(737, 52, F7, 26) (dual of [52, 15, 27]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(740, 55, F7, 27) (dual of [55, 15, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(749, 64, F7, 32) (dual of [64, 15, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(744, 59, F7, 28) (dual of [59, 15, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(751, 66, F7, 33) (dual of [66, 15, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(756, 71, F7, 34) (dual of [71, 15, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(761, 76, F7, 37) (dual of [76, 15, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(756, 72, F7, 34) (dual of [72, 16, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 13 | Linear OA(751, 67, F7, 33) (dual of [67, 16, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(749, 65, F7, 32) (dual of [65, 16, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(740, 56, F7, 27) (dual of [56, 16, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(737, 53, F7, 26) (dual of [53, 16, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(763, 78, F7, 38) (dual of [78, 15, 39]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 18 | Linear OA(762, 77, F7, 38) (dual of [77, 15, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(754, 69, F7, 34) (dual of [69, 15, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(745, 60, F7, 29) (dual of [60, 15, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(752, 68, F7, 33) (dual of [68, 16, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(741, 57, F7, 27) (dual of [57, 16, 28]-code) | [i] | ✔ | |
| 23 | Linear OOA(733, 24, F7, 2, 24) (dual of [(24, 2), 15, 25]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(733, 16, F7, 3, 24) (dual of [(16, 3), 15, 25]-NRT-code) | [i] | ||