Information on Result #611299
Linear OA(2239, 131073, F2, 29) (dual of [131073, 130834, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2238, 131072, F2, 28) (dual of [131072, 130834, 29]-code) | [i] | Truncation | |
| 2 | Linear OA(2253, 131088, F2, 29) (dual of [131088, 130835, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2242, 131077, F2, 29) (dual of [131077, 130835, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(2243, 131081, F2, 29) (dual of [131081, 130838, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(2244, 131089, F2, 29) (dual of [131089, 130845, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(2245, 131105, F2, 29) (dual of [131105, 130860, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(2246, 131114, F2, 29) (dual of [131114, 130868, 30]-code) | [i] | ✔ | |
| 8 | Linear OOA(2239, 43691, F2, 3, 29) (dual of [(43691, 3), 130834, 30]-NRT-code) | [i] | OOA Folding | |