Information on Result #701480
Linear OA(729, 48, F7, 19) (dual of [48, 19, 20]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {1,2,3,6,8,9,10,11,12,13,16,17,18,19,20,24}, and minimum distance d ≥ |{6,7,…,24}|+1 = 20 (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 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]
- Primitive BCH-Codes (hidden) [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(748, 67, F7, 28) (dual of [67, 19, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |