Information on Result #685963
Linear OA(719, 24, F7, 15) (dual of [24, 5, 16]-code), using contraction based on linear OA(767, 72, F7, 47) (dual of [72, 5, 48]-code), using the narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(769, 73, F7, 57) (dual of [73, 4, 58]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(721, 28, F7, 15) (dual of [28, 7, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(722, 30, F7, 15) (dual of [30, 8, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(726, 31, F7, 20) (dual of [31, 5, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(723, 31, F7, 16) (dual of [31, 8, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(722, 29, F7, 16) (dual of [29, 7, 17]-code) | [i] | ✔ | |