Information on Result #611147
Linear OA(2101, 1025, F2, 21) (dual of [1025, 924, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2100, 1024, F2, 20) (dual of [1024, 924, 21]-code) | [i] | Truncation | |
| 2 | Linear OA(2109, 1034, F2, 21) (dual of [1034, 925, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2124, 1029, F2, 25) (dual of [1029, 905, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(2125, 1033, F2, 25) (dual of [1033, 908, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2126, 1041, F2, 25) (dual of [1041, 915, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(2127, 1051, F2, 25) (dual of [1051, 924, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(2104, 1029, F2, 21) (dual of [1029, 925, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2105, 1033, F2, 21) (dual of [1033, 928, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(2106, 1041, F2, 21) (dual of [1041, 935, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(2107, 1051, F2, 21) (dual of [1051, 944, 22]-code) | [i] | ✔ | |
| 11 | Linear OOA(2101, 205, F2, 5, 21) (dual of [(205, 5), 924, 22]-NRT-code) | [i] | OOA Folding | |