Information on Result #614824
Linear OA(831, 32769, F8, 7) (dual of [32769, 32738, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)
Mode: Constructive and linear.
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(834, 32779, F8, 7) (dual of [32779, 32745, 8]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(835, 32834, F8, 7) (dual of [32834, 32799, 8]-code) | [i] | ||
3 | Linear OA(836, 32977, F8, 7) (dual of [32977, 32941, 8]-code) | [i] | ||
4 | Linear OA(836, 32788, F8, 7) (dual of [32788, 32752, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
5 | Linear OA(833, 32772, F8, 7) (dual of [32772, 32739, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
6 | Linear OA(832, 32780, F8, 7) (dual of [32780, 32748, 8]-code) | [i] | ✔ | |
7 | Linear OA(832, 32781, F8, 7) (dual of [32781, 32749, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |