Information on Result #685812
Linear OA(741, 48, F7, 33) (dual of [48, 7, 34]-code), using contraction based on linear OA(789, 96, F7, 67) (dual of [96, 7, 68]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,65], and minimum distance d ≥ |{−1,0,…,65}|+1 = 68 (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 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(788, 94, F7, 67) (dual of [94, 6, 68]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(787, 92, F7, 67) (dual of [92, 5, 68]-code) | [i] | ||
| 3 | Linear OA(798, 105, F7, 74) (dual of [105, 7, 75]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(743, 50, F7, 34) (dual of [50, 7, 35]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(746, 56, F7, 33) (dual of [56, 10, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(749, 61, F7, 33) (dual of [61, 12, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(750, 64, F7, 33) (dual of [64, 14, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(751, 66, F7, 33) (dual of [66, 15, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(755, 63, F7, 41) (dual of [63, 8, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(753, 61, F7, 40) (dual of [61, 8, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(751, 59, F7, 39) (dual of [59, 8, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(749, 57, F7, 38) (dual of [57, 8, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(743, 51, F7, 34) (dual of [51, 8, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(751, 67, F7, 33) (dual of [67, 16, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(750, 65, F7, 33) (dual of [65, 15, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(749, 62, F7, 33) (dual of [62, 13, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(746, 57, F7, 33) (dual of [57, 11, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(752, 60, F7, 40) (dual of [60, 8, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(748, 61, F7, 33) (dual of [61, 13, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(752, 60, F7, 39) (dual of [60, 8, 40]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 21 | Linear OA(749, 57, F7, 37) (dual of [57, 8, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(748, 59, F7, 33) (dual of [59, 11, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(752, 68, F7, 33) (dual of [68, 16, 34]-code) | [i] | ✔ | |
| 24 | Linear OOA(741, 16, F7, 3, 33) (dual of [(16, 3), 7, 34]-NRT-code) | [i] | OOA Folding | |