Information on Result #611250
Linear OA(2253, 2097153, F2, 25) (dual of [2097153, 2096900, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, 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(2252, 2097152, F2, 24) (dual of [2097152, 2096900, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(2256, 2097157, F2, 25) (dual of [2097157, 2096901, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2257, 2097161, F2, 25) (dual of [2097161, 2096904, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(2258, 2097169, F2, 25) (dual of [2097169, 2096911, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2259, 2097185, F2, 25) (dual of [2097185, 2096926, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(2260, 2097202, F2, 25) (dual of [2097202, 2096942, 26]-code) | [i] | ✔ | |
| 7 | Linear OOA(2253, 699051, F2, 3, 25) (dual of [(699051, 3), 2096900, 26]-NRT-code) | [i] | OOA Folding | |