Information on Result #673030
Linear OA(2107, 1051, F2, 21) (dual of [1051, 944, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,8]) based on
- 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(281, 1025, F2, 17) (dual of [1025, 944, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2106, 1050, F2, 20) (dual of [1050, 944, 21]-code) | [i] | Truncation | |
| 2 | Linear OOA(2107, 210, F2, 5, 21) (dual of [(210, 5), 943, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2107, 175, F2, 6, 21) (dual of [(175, 6), 943, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(2107, 150, F2, 7, 21) (dual of [(150, 7), 943, 22]-NRT-code) | [i] | ||