Information on Result #673026
Linear OA(2127, 1051, F2, 25) (dual of [1051, 924, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(2121, 1025, F2, 25) (dual of [1025, 904, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 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) [i]
- linear OA(26, 26, F2, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
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(2126, 1050, F2, 24) (dual of [1050, 924, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(2127, 210, F2, 5, 25) (dual of [(210, 5), 923, 26]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2127, 175, F2, 6, 25) (dual of [(175, 6), 923, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(2127, 150, F2, 7, 25) (dual of [(150, 7), 923, 26]-NRT-code) | [i] | ||