Information on Result #701340
Linear OA(720, 48, F7, 12) (dual of [48, 28, 13]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {0,1,2,3,4,5,6,8,9,34,41}, and minimum distance d ≥ |{−2,−1,…,9}|+1 = 13 (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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (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(723, 59, F7, 12) (dual of [59, 36, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(721, 55, F7, 12) (dual of [55, 34, 13]-code) | [i] | ✔ | |
| 3 | Linear OA(723, 55, F7, 13) (dual of [55, 32, 14]-code) | [i] | ✔ | |