Information on Result #701409
Linear OA(733, 48, F7, 24) (dual of [48, 15, 25]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {0,1,2,3,4,5,6,8,9,10,11,12,13,20,27,34,40,41}, and minimum distance d ≥ |{−8,−7,…,15}|+1 = 25 (BCH-bound)
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 Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [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(747, 72, F7, 26) (dual of [72, 25, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(750, 75, F7, 27) (dual of [75, 25, 28]-code) | [i] | ✔ | |
| 7 | Linear OOA(733, 24, F7, 2, 24) (dual of [(24, 2), 15, 25]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(733, 16, F7, 3, 24) (dual of [(16, 3), 15, 25]-NRT-code) | [i] | ||