Information on Result #611238
Linear OA(2205, 131073, F2, 25) (dual of [131073, 130868, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(2204, 131072, F2, 24) (dual of [131072, 130868, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(2217, 131086, F2, 25) (dual of [131086, 130869, 26]-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 OA(2208, 131077, F2, 25) (dual of [131077, 130869, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(2209, 131081, F2, 25) (dual of [131081, 130872, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(2210, 131089, F2, 25) (dual of [131089, 130879, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(2211, 131105, F2, 25) (dual of [131105, 130894, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(2212, 131114, F2, 25) (dual of [131114, 130902, 26]-code) | [i] | ✔ | |
| 13 | Linear OOA(2205, 43691, F2, 3, 25) (dual of [(43691, 3), 130868, 26]-NRT-code) | [i] | OOA Folding | |