Information on Result #673017
Linear OA(2167, 1051, F2, 33) (dual of [1051, 884, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,14]) based on
- linear OA(2161, 1025, F2, 33) (dual of [1025, 864, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2141, 1025, F2, 29) (dual of [1025, 884, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2166, 1050, F2, 32) (dual of [1050, 884, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(2167, 210, F2, 5, 33) (dual of [(210, 5), 883, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2167, 175, F2, 6, 33) (dual of [(175, 6), 883, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(2167, 150, F2, 7, 33) (dual of [(150, 7), 883, 34]-NRT-code) | [i] | ||