Information on Result #701394
Linear OA(722, 48, F7, 13) (dual of [48, 26, 14]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {1,2,4,5,6,8,9,10,11,12,13,16}, and minimum distance d ≥ |{4,5,…,16}|+1 = 14 (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 Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(730, 56, F7, 18) (dual of [56, 26, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(733, 59, F7, 19) (dual of [59, 26, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(736, 62, F7, 20) (dual of [62, 26, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(740, 66, F7, 21) (dual of [66, 26, 22]-code) | [i] | ✔ | |