Information on Result #619533
Linear OA(12819, 2097153, F128, 7) (dual of [2097153, 2097134, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, 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(12822, 2097283, F128, 7) (dual of [2097283, 2097261, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12823, 2113538, F128, 7) (dual of [2113538, 2113515, 8]-code) | [i] | ||
| 3 | Linear OA(12824, 2146309, F128, 7) (dual of [2146309, 2146285, 8]-code) | [i] | ||
| 4 | Linear OA(12824, 2097412, F128, 7) (dual of [2097412, 2097388, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(12821, 2097156, F128, 7) (dual of [2097156, 2097135, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(12826, 2097160, F128, 9) (dual of [2097160, 2097134, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(12820, 2097160, F128, 7) (dual of [2097160, 2097140, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(12834, 2097168, F128, 11) (dual of [2097168, 2097134, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(12842, 2097176, F128, 13) (dual of [2097176, 2097134, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(12820, 2097161, F128, 7) (dual of [2097161, 2097141, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 11 | Linear OOA(12819, 699051, F128, 3, 7) (dual of [(699051, 3), 2097134, 8]-NRT-code) | [i] | OOA Folding | |