Information on Result #701420
Linear OA(733, 48, F7, 21) (dual of [48, 15, 22]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {0,1,2,3,4,5,6,8,9,10,11,12,13,16,17,27,34,41}, and minimum distance d ≥ |{−3,−2,…,17}|+1 = 22 (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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [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(736, 60, F7, 21) (dual of [60, 24, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(735, 58, F7, 21) (dual of [58, 23, 22]-code) | [i] | ✔ | |